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Mathematics

Grade9

Easy

Question

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

100° and 80°
90° and 90°
70° and 110°
140° and 40°

hint Hint:

Supplementary angles are those angles that sum up to 180 degrees. For example, angle 130° and angle 50° are supplementary angles because sum of 130° and 50° is equal to 180°. Similarly, complementary angles add up to 90 degrees.

The correct answer is: 100° and 80°

Supplementary angles are those angles that sum up to 180 degrees.
Given : The ratio of the measures of two supplementary angles is 5:4.
Let the angles be 5x and 4x
By property :
5x + 4x = 180 $degree$
9x =  180 $degree$
x =  20 $degree$
Angles = 5x = 5 $cross times$ 20 $degree$ =  100 $degree$ and 4x =  4 $cross times$ 20 $degree$ = 80 $degree$
Thus, the measures of the angles are 100 $degree$ and  80 $degree$ .

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