Question

the larger of two supplementary angles exceeds the smaller by 18° find the angles​

Answer 1

Answer:

let x , y are two angles such that x is greater than y

it means x = y + 18°

we know that sum of complementary angle is 90 degree

that implies , x+ y = 90°

that implies , y+ y+18° = 90°

that implies , 2y = 72°

y= 36°

that implies , x = 36° + 18° = 54°