Question

two supplementary angles are differ by 62 .find the angles

Answer 1

let the two numbers x and x+62 which is equal to 180
x+x+62=180
2x=180-62
2x=118
x=59
x+62= 59+62=121

Answer 2

Answer:

∠x=121°

∠y=59°

Step-by-step explanation:

Let one angle be x

Let other angle be y

Since we are given that angles are differ by 63

⇒x-y=62--a

Since we are given that these angles are supplementary

Since sum of supplementary angles is 180 degree

⇒x+y=180---b

Adding equation a and b

⇒2x=242

⇒x=121

So, to find y

121+y=180

y=180-121

y=59

Thus ∠x=121°

∠y=59°