Question

<RQT is a straight angle. What are m<RQS and m<TQS​

Answer 1

Answers:

• x = 11
• angle RQS = 106 degrees
• angle SQT = 74 degrees

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Explanation:

Straight angles are always 180 degrees in measure.

The two smaller angles shown add up to 180

(angle RQS) + (angle SQT) = angle RQT

(9x+7) + (6x+8) = 180

(9x+6x) + (7+8) = 180

15x+15 = 180

15x = 180-15

15x = 165

x = 165/15

x = 11

From here, we then know that,

• angle RQS = 9x+7 = 9*11+7 = 99+7 = 106 degrees
• angle SQT = 6x+8 = 6*11+8 = 66+8 = 74 degrees

Note how the two results add to 106+74 = 180 to help confirm the answers.