Answer:
x = 14
m∠VQS = 137° and m∠SQT = 43°
Explanation:
These two angles are on a straight line, so they are supplementary angles, and their sum is 180°.
So we can write the following equation to find the value of x and then measures of the angles:
8x + 25 + 2x + 15 = 180
10x + 40 = 180
- Subtract 40 from both sides.
10x = 140
- Divide both sides by 10.
x = 14
To find the measure of angles, replace x with 14 on the given expressions.