Mathematics
Grade9
Easy
Question
Find the measure of angle Q.
- 84o
- 118o
- 62o
- 90o
Hint:
The given figure is a parallelogram, which is a quadrilateral.
The correct answer is: 118o
< Q = 1180
By closely observing the given figure, we can infer that the sides PQ and RS are parallel to each other just like sides AD and BC. Hence, PQRS is a parallelogram.
Hence, we know that opposite sides are equal in length and opposite angles are equal. Hence, the angle opposite to Q is angle S, which is equal to 1180 .
A parallelogram is a 2D polygon which has 2 sets of equal and parallel sides which are opposite to each other.
Related Questions to study
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.
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
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.
Mathematics
What is the measure of A?
Properties of polygons state several rules for solving such problems. Sum of internal angles = (n-2) x 180 degrees. sum of external angles of a polygon = 360 degrees.
What is the measure of A?
MathematicsGrade9
Properties of polygons state several rules for solving such problems. Sum of internal angles = (n-2) x 180 degrees. sum of external angles of a polygon = 360 degrees.
Mathematics
Two triangles are similar. The ratio of the areas is 
. find the length of the base of the smaller triangle if the length of the base of the larger triangle is 24 units.
Two triangles are similar. The ratio of the areas is . find the length of the base of the smaller triangle if the length of the base of the larger triangle is 24 units.
MathematicsGrade9
Mathematics
Two triangles are similar. The ratio of the areas is . What is the scale factor?
Two triangles are similar. The ratio of the areas is . What is the scale factor?
MathematicsGrade9
Mathematics
Two trapezoids are similar. If the scale factor is 
and the area of the smaller trapezoid is 81 square cm, what is the area of the larger trapezoid?
Two trapezoids are similar. If the scale factor is and the area of the smaller trapezoid is 81 square cm, what is the area of the larger trapezoid?
MathematicsGrade9
Mathematics
Find the ratio of the areas of the rhombus below. The rhombus are similar
Find the ratio of the areas of the rhombus below. The rhombus are similar
MathematicsGrade9
Mathematics
Two rectangles are similar with a scale factor of 4/7. If the area of the larger rectangle is 294 square inches, find the area of the smaller rectangle.
Two rectangles are similar with a scale factor of 4/7. If the area of the larger rectangle is 294 square inches, find the area of the smaller rectangle.
MathematicsGrade9
Mathematics
What is the ratio of the areas of the large triangle to one of the small triangles?
What is the ratio of the areas of the large triangle to one of the small triangles?
MathematicsGrade9
Mathematics
A triangle with an area of 10 square meters has a base of 4 meters. A similar triangle has an area of 90 square meters. What is the height of the larger triangle?
A triangle with an area of 10 square meters has a base of 4 meters. A similar triangle has an area of 90 square meters. What is the height of the larger triangle?
MathematicsGrade9
Mathematics
You need two bottles of fertilizer to treat the flower garden shown. How many bottles do you need to treat a similar garden with a perimeter of 105 feet?
You need two bottles of fertilizer to treat the flower garden shown. How many bottles do you need to treat a similar garden with a perimeter of 105 feet?
MathematicsGrade9
Mathematics
A rectangular school banner has a length of 44 inches, a perimeter of 156 inches, and an area of 1496 square inches. The cheerleaders make signs similar to the banner. The length of a sign is 11 inches. What is its perimeter and its area?
A rectangular school banner has a length of 44 inches, a perimeter of 156 inches, and an area of 1496 square inches. The cheerleaders make signs similar to the banner. The length of a sign is 11 inches. What is its perimeter and its area?
MathematicsGrade9
Mathematics
The two figures are similar. Find the ratios (red to blue) of the perimeters and of the areas.
The two figures are similar. Find the ratios (red to blue) of the perimeters and of the areas.
MathematicsGrade9
Mathematics
The two figures are similar. Find the ratios (red to blue) of the perimeters and of the areas.
¶Perimeters: The scale factor and the perimeters' ratios are identical. The scale factor is the same for any ratio between two similar shapes (diagonals, medians, midsegments, altitudes, etc.).
Area: The area is the region defined by an object's shape. The area of an object shape is the space covered by a figure or any two-dimensional geometric shape in a plane. All shapes' areas are determined by their dimensions and properties. Different shapes have various areas.Area of Rectangle = a × b
¶
Area: The area is the region defined by an object's shape. The area of an object shape is the space covered by a figure or any two-dimensional geometric shape in a plane. All shapes' areas are determined by their dimensions and properties. Different shapes have various areas.Area of Rectangle = a × b
¶
The two figures are similar. Find the ratios (red to blue) of the perimeters and of the areas.
MathematicsGrade9
¶Perimeters: The scale factor and the perimeters' ratios are identical. The scale factor is the same for any ratio between two similar shapes (diagonals, medians, midsegments, altitudes, etc.).
Area: The area is the region defined by an object's shape. The area of an object shape is the space covered by a figure or any two-dimensional geometric shape in a plane. All shapes' areas are determined by their dimensions and properties. Different shapes have various areas.Area of Rectangle = a × b
¶
Area: The area is the region defined by an object's shape. The area of an object shape is the space covered by a figure or any two-dimensional geometric shape in a plane. All shapes' areas are determined by their dimensions and properties. Different shapes have various areas.Area of Rectangle = a × b
¶
