Question

Use the image below to find x, m angle V Q S, and m angle S Q T. (3 points)

Answer 1

x = 14⁰

Angle VQS = 137⁰

Angle SQT = 43⁰

Explanation:

We know the sum of the two angles VQS and SQT is equal to 180 degrees since it is a straight line. We can therefore write:

VQS + SQT = 180⁰

(8x + 25) + (2x + 15) = 180⁰

10x + 40 = 180⁰

10x = 140⁰

x = 14⁰

Angle VQS = (8x + 25)

Angle VQS = (8*(14⁰ ) + 25)

Angle VQS = 137⁰

==

Angle SQT = (2x + 15)

Angle SQT = (2*(14⁰) + 15)

Angle SQT = 43⁰

CHECK:

Do angles VQS and SQT sum to 180⁰?

137⁰ + 43⁰ = 180⁰ YES