158k views
21 votes
Find the unknown angle measure by solving for the given variable.

Supplementary angles​

Find the unknown angle measure by solving for the given variable. Supplementary angles-example-1
User Iltempo
by
8.4k points

1 Answer

7 votes

Explanation:

Given that,

∠PSQ = 13x+7

∠QSR = 42x+8

We need to find the measure of angles.

We can use the property of linear pair. ATQ,

13x+7 + 42x+8 = 180 (Linear pair)

Taking like terms,

13x+42x = 180 - 7-8

55x = 165

x = 3

So,

∠PSQ = 13x+7 = 13(3) + 7 = 46°

∠QSR = 42x+8 = 42(3) + 8 = 134°

Hence, this is the required solution.

User Steve Homer
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.