Question

Two supplementary angles differ by 10°. Find the measure of the two angles

Answer 1

Let one of the supplementary angles be x°.

Then , the other one would be (180 - x)°

A.T.Q.

x°- (180 -x)° = 10°

=> x°- 180°+ x° = 10°

=> 2x° = 10° + 180°

=> 2x° = 190°

=> x° = 190°/ 2

x° = 95°

So, second angle would be (180 - 95 )°

= 85°

Answer 2

Answer:

Step-by-step explanation:two angles are supplementary so x+y=180

two angles differ by 10 so x-y=10

x+y=180

x-y=10

after eliminating y we get 2x=190, x =95

substitute the value of x in the first equation and we get y=85