Question

Between to supplementary angles , the measure of the larger angel is 34 degree more than the measure of the smaller angle. find the angle​

Answer 1

Answer:

Sol: Let the measure of the supplementary angles be x and (x + 36). ⇒ (x) + (x + 36) = 180° ⇒ 2x + 36 = 180° ⇒ 2x = 144° ⇒ x = 72° Therefore, measures of the supplementary angles are 72° and (72 + 36) i.e. 108°.

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Answer 2

We Know that

Supplementary angle is of 180 degree.

Let one angle be x degree

Then , another angle = 34 + x

34+x+x =180

34 + 2x = 180

2x = 180 - 34

2x = 146

x = 146 / 2

x = 73 degree.

Smaller angle = 73 degree

Larger angle = 34 + x

Larger angle = 34 + 73

Larger angle = 107

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