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

If mZRST = 65, mZQST = 2x, and mZQSR = 3x - 10, what is the value of x?-example-1
User Guillaume Lebreton
by
2.8k points

1 Answer

20 votes
20 votes

Answer:

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

User Pkatsourakis
by
3.5k points