Two supplementary angle differ by 18 degree find the measure of each angle Question Two supplementary angle differ by 18 degree find the measure of each angle in progress 0 Math Bella 2 months 2021-11-23T02:44:56+00:00 2021-11-23T02:44:56+00:00 2 Answers 0 views 0

## Answers ( )

Let the first angle be x

and the angle will be (x+18)

x+x+18°=180°

2x=180°-18°

2x=162°

x=162°/2

x=81°

so the first angle is 81°

and the second angle is=81°+18=99°

AnswEr:-❀YourAnswerIs99°And81°.ExplanaTion:-Given:–ToFind:-ConceptUsed:-Sum of two supplementary angles are always equal to 180°.

Solettheanglesbexandy.ThereforeATQ:–↦ x – y = 18°...eq(1).Also by using concept we get,

↦x+y=180°...eq(2).Byaddingeq(1)andeq(2)weget:–↦ (x – y) + (x + y) = 18° + 180°.

↦ x – y + x + y = 198°.

↦ 2x = 198°.

↦ x = 198°/2.

↦x=99°Byputtingthevalueofxineq(1)weget:–↦ x – y = 18°.

↦ 99° – y = 18°.

↦ y = 99° – 18°.

↦y=81°.Thereforetheanglesare99°and81°.