Question

∠PQR​​​ is a right angle. Find ​​​m∠PQS​ and ​m∠SQR​.

Answer 1

<PQS = 47

<SQR = 43

Explanation:

A right angle equals 90°.

7x + 145 + 6x + 127 = 90 Combine like terms

13x + 272 = 90 Subtract 272 from both sides

13x = 90 - 272

13x = -182 Divide both sides by 13

x = -14

Substitute -14 for x

<PQS

7x + 145

7(-14) + 145

-98 + 145

47

<SQR

6x + 127

6(-14) + 127

43

43 + 47 = 90