Question

∠RQT is a straight angle. What are m∠RQS and m∠TQS?

Answer 1

m∠RQS = 102°

m∠TQS = 78°

Explanation:

A straight angle is equal to 180 degrees. We will create an equation to solve for x.

9x° + 3° + 7x° + 1° = 180°

16x° + 4° = 180°

16x° = 176°

x = 11

Next, we will substitute this value into the expressions representing the angles.

m∠RQS = 9x° + 3° = 9(11)° + 3° = 102°

m∠TQS = 7x° + 1° = 7(11)° + 1° = 78°