Question

If mZRST = 65, mZQST = 2x, and mZQSR = 3x - 10, what is the value of x?

Answer 1

x = 11

Explanation:

The angle RST contains both angle QST and QSR

We were also given the angle of RST which was 65

With this information we can assume that the angle measure of QST + QSR will equal the angle measure of 65

SO, we can set this expression up:

65 = QST + QSR

65 = 2x + (3x - 10)

Now to solve for x

65 = 2x + 3x - 10

65 = 5x - 10

+10 +10

55 = 5x

/5 /5

11 = x