Question

If ∠RST = 65, m∠QST = 2x, and m∠QSR= 3x – 10, what is the value of x?

35

13

65

15

Answer 1

Answer: x = 15

Explanation:

Answer 2

x = 15

Explanation:

Given: ∠RST = 65, m∠QST = 2x, and m∠QSR= 3x – 10

∠QST + ∠QSR = ∠RST

Plug in

2x + 3x – 10 = 65

Combine like terms

5x - 10 = 65

Add 10 to both sides

5x = 75

Divide both sides by 5

x = 15

So answer: x = 15