Question

among two supplementary angles the measure of the larger angle is 36 degree more than the measure of the smaller. Find the measures.​

Answer 1

Answer:

let smaller angle be x and larger angle =x+36

x+x+36=180°

2x+36=180°

2x=180-36

2x=144

x=144/2

=72°

x=72+36=108

Answer 2

Step-by-step explanation:

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°.