Mathematics
Grade9
Easy

Question

text  The measure of angle  end text angle R Y S text  is  end text_____________.

  1. 700
  2. 1200
  3. 1300
  4. 900

hintHint:

break the figure into 2 parallelograms and apply the properties of parallelograms.

The correct answer is: 1300


    130

    Using the properties of parallelograms, opposite angles are equal in a parallelogram.
    < RYX = <RPX =70 degree
    Also, By angle sum property of a parallelogram, we know that sum of adjacent angles in a parallelogram = 180.
    <YXQ + <XYS = 180
    <XYS = 180 – 120 = 60
    < RYS = <RYX + < XYS = 70 + 60 = 130 degree.

    A parallelogram is a 2D polygon which has 2 sets of equal and parallel sides which are opposite to each other. We can also find angle PXQ and subtract that from 360 degrees to get the required result. This is possible due to the symmetry of the figure.

    Related Questions to study

    Grade9
    Mathematics

    The measure of angle Y is ______________.

    Sum of internal angles of a polygon =( n-2) x 180
    for a triangle, n = 3
    = (3-1) x 180 = 180 degrees.

    The measure of angle Y is ______________.

    MathematicsGrade9

    Sum of internal angles of a polygon =( n-2) x 180
    for a triangle, n = 3
    = (3-1) x 180 = 180 degrees.

    Grade9
    Mathematics

    The value of  is ________.

    In a parallelogram, opposite angles and sides are equal . in this case, angles A= C and B= D. also, AB = CD and AD = BC

    The value of  is ________.

    MathematicsGrade9

    In a parallelogram, opposite angles and sides are equal . in this case, angles A= C and B= D. also, AB = CD and AD = BC

    Grade9
    Mathematics

    The measure of angle X is ______.

    In a parallelogram, opposite angles and sides are equal . in this case, angles W= Y and X = Z. also, WX = YZ and WZ = XY

    The measure of angle X is ______.

    MathematicsGrade9

    In a parallelogram, opposite angles and sides are equal . in this case, angles W= Y and X = Z. also, WX = YZ and WZ = XY

    parallel
    Grade9
    Mathematics

    The length of side CD is ________.

    In a parallelogram, opposite angles and opposite sides are equal .
    Given polygon is a parallelogram.

    The length of side CD is ________.

    MathematicsGrade9

    In a parallelogram, opposite angles and opposite sides are equal .
    Given polygon is a parallelogram.

    Grade9
    Mathematics

    The measure of angle K is _____.

    the symmetry of the parallelogram can be a good tool to evaluate such angles and sides.

    The measure of angle K is _____.

    MathematicsGrade9

    the symmetry of the parallelogram can be a good tool to evaluate such angles and sides.

    Grade9
    Mathematics

    The length of FG is ______.

    Given polygon is a parallelogram.
    Bisection means dividing into 2 equal parts in 1: 1 ratio.By property of parallelogram, we know that the diagonals of a parallelogram bisect each

    The length of FG is ______.

    MathematicsGrade9

    Given polygon is a parallelogram.
    Bisection means dividing into 2 equal parts in 1: 1 ratio.By property of parallelogram, we know that the diagonals of a parallelogram bisect each

    parallel
    Grade9
    Mathematics

    The measure of  is ________.

    By angle sum property of a parallelogram, we know that sum of adjacent angles in a parallelogram = 180.

    The measure of  is ________.

    MathematicsGrade9

    By angle sum property of a parallelogram, we know that sum of adjacent angles in a parallelogram = 180.

    Grade9
    Mathematics

    The sum of the interior angles of a parallelogram is ______.

    Sum of internal angles of a polygon =( n-2) x 180
    sum of external angles of a polygon =360

    The sum of the interior angles of a parallelogram is ______.

    MathematicsGrade9

    Sum of internal angles of a polygon =( n-2) x 180
    sum of external angles of a polygon =360

    Grade9
    Mathematics

    The given polygon called as _____.

    Nomenclature of polygons:
    3 - triangle
    4- qadrilateral
    5- pentagon
    6-hexa
    7-septa
    8-octa
    9-nona
    10-deca
    and so on.

    The given polygon called as _____.

    MathematicsGrade9

    Nomenclature of polygons:
    3 - triangle
    4- qadrilateral
    5- pentagon
    6-hexa
    7-septa
    8-octa
    9-nona
    10-deca
    and so on.

    parallel
    Grade9
    Mathematics

    Find the measure of x.

    Bisection means to divide into 2 equal parts in the 1: 1 ratio. diagonals of a parallelogram bisect each other but not at right angles. a square is a special case of a parallelogram where the diagonals intersect at 90 degrees.

    Find the measure of x.

    MathematicsGrade9

    Bisection means to divide into 2 equal parts in the 1: 1 ratio. diagonals of a parallelogram bisect each other but not at right angles. a square is a special case of a parallelogram where the diagonals intersect at 90 degrees.

    Grade9
    Mathematics

    text  If  end text L M ‖ N O text  and  end text L O ‖ M N text , what is the measure of  end text angle L O N text  ?  end text

    A parallelogram is a 2D polygon which has 2 sets of equal and parallel sides which are opposite to each other.

    text  If  end text L M ‖ N O text  and  end text L O ‖ M N text , what is the measure of  end text angle L O N text  ?  end text

    MathematicsGrade9

    A parallelogram is a 2D polygon which has 2 sets of equal and parallel sides which are opposite to each other.

    Grade9
    Mathematics

    Find the measure of angle Q.

    A parallelogram is a 2D polygon which has 2 sets of equal and parallel sides which are opposite to each other.

    Find the measure of angle Q.

    MathematicsGrade9

    A parallelogram is a 2D polygon which has 2 sets of equal and parallel sides which are opposite to each other.

    parallel
    Grade9
    Mathematics

    What is the measure of side AB?

    A parallelogram is a 2D polygon which has 2 sets of equal and parallel sides which are opposite to each other.

    What is the measure of side AB?

    MathematicsGrade9

    A parallelogram is a 2D polygon which has 2 sets of equal and parallel sides which are opposite to each other.

    Grade9
    Mathematics

    The sum of angles of the given figure is _____.

    By the property of polygons, we know that the sum of external angles of a polygon =360
    Also,
    Sum of internal angles of a polygon =( n-2) x 180

    The sum of angles of the given figure is _____.

    MathematicsGrade9

    By the property of polygons, we know that the sum of external angles of a polygon =360
    Also,
    Sum of internal angles of a polygon =( n-2) x 180

    Grade9
    Mathematics

    Find the sum of measures of interior angles of a nonagon.

    Sum of internal angles = (n-2) x 180
    the sum of external angles of a polygon =360
    these are properties of polygons.

    Find the sum of measures of interior angles of a nonagon.

    MathematicsGrade9

    Sum of internal angles = (n-2) x 180
    the sum of external angles of a polygon =360
    these are properties of polygons.

    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.