Mathematics
Grade9
Easy

Question

The ratio of the measure of an exterior angle of a triangle to the measure of the adjacent interior angle is 2: 4. Find the exterior angle and interior angle.

  1. Exterior angle=60, interior angle=120
  2. Exterior angle =120, interior angle =60
  3. Exterior angle = 90, interior angle =90
  4. Exterior angle =150, interior angle =30

hintHint:

An exterior angle and its adjacent interior angle are supplementary angles, so they add to 180°.

The correct answer is: Exterior angle=60, interior angle=120


    An exterior angle and its adjacent interior angle are supplementary angles, so they add to 180°.
    The ratio of the measure of an exterior angle of a triangle to the measure of the adjacent interior angle is 2: 4. 
    Let the exterior angle be 2x and adjacent interior angle 4x

    By property :
    2x + 4x = 180degree
    6x =  180degree
    x =  30degree
    The exterior angle is = 2x = 2 cross times  30degree =  60degree and the adjacent interior angle is 4x = 4 cross times  30degree = 120degree
    Thus, option c is correct : Exterior angle=60, interior angle=120

    Related Questions to study

    Grade9
    Mathematics

    The perimeter of a rectangle is 132 feet. The ratio of the length to the width is 10: 1. Find the length and the width.

    The perimeter of a rectangle is 132 feet. The ratio of the length to the width is 10: 1. Find the length and the width.

    MathematicsGrade9
    Grade9
    Mathematics

    The ratio of the measures of two supplementary angles is 5:4. Find the measures of the angles.

    The ratio of the measures of two supplementary angles is 5:4. Find the measures of the angles.

    MathematicsGrade9
    Grade9
    Mathematics

    Solve the proportion fraction numerator 1 over denominator left parenthesis y plus 1 right parenthesis end fraction equals fraction numerator 4 over denominator 3 y end fraction

    Solve the proportion fraction numerator 1 over denominator left parenthesis y plus 1 right parenthesis end fraction equals fraction numerator 4 over denominator 3 y end fraction

    MathematicsGrade9
    parallel
    Grade9
    Mathematics

    Simplified ratio of 10ft:20in

    Simplified ratio of 10ft:20in

    MathematicsGrade9
    Grade9
    Mathematics

    A triangle’s angle measures are in the extended ratio of 1: 3: 6. Find the measures of the angles

    A triangle’s angle measures are in the extended ratio of 1: 3: 6. Find the measures of the angles

    MathematicsGrade9
    Grade9
    Mathematics

    The perimeter of a room is 48 feet, and the ratio of its length to its width is 5:3. Find the length and width of the room.

    The perimeter of a room is 48 feet, and the ratio of its length to its width is 5:3. Find the length and width of the room.

    MathematicsGrade9
    parallel
    Grade9
    Mathematics

    If the product of extremes is equal to the product of means, then it is in

    If the product of extremes is equal to the product of means, then it is in

    MathematicsGrade9
    Grade9
    Mathematics

    When two ratios are equal, then it is

    When two ratios are equal, then it is

    MathematicsGrade9
    Grade9
    Mathematics

    In ratio

    In ratio

    MathematicsGrade9
    parallel
    Grade9
    Mathematics

    Ratio has

    Ratio has

    MathematicsGrade9
    Similarity
    Mathematics

    In the diagram, text  ABCD KLMN.  end textFind perimeter of KLMN

    In the diagram, text  ABCD KLMN.  end textFind perimeter of KLMN

    MathematicsSimilarity
    Similarity
    Mathematics

    In the diagram capital delta QPR approximately equal to angle RPS Find the length of RS with bar on top

    In the diagram capital delta QPR approximately equal to angle RPS Find the length of RS with bar on top

    MathematicsSimilarity
    parallel
    Similarity
    Mathematics

    Find the value of x

    Find the value of x

    MathematicsSimilarity
    Similarity
    Mathematics

    Find the value of x

    Find the value of x

    MathematicsSimilarity
    Similarity
    Mathematics

    Find the value of x

    Find the value of x

    MathematicsSimilarity
    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.