Question

Among two supplementary angles, the measure of the larger angle is 36 degree more than the measure of the smaller. Find their measures?

Answer 1

Answer:

Step-by-step explanation:

Let the smaller angle be x

Sum of two supplementary angles = 180°

Then the sum of the larger angle = 180° - x (Equation 1)

ATQ, measure of larger angle = 36 degree more than the measure of the smaller

measure of larger angle = x + 36° (Equation 2)

On comparing both the equations we get,

180°-x = x°+36°

180°-36° = x+x

144° = 2x

x = 144/2

x = 72°

Hence, measure of smaller angle = 72°

And measure of larger angle = 72° + 36°

                                                 = 114°

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