Answer:
m∠RST = 20
Step-by-step explanation:
Sine the line SP bisects ∠RST, we know that the two angles that were formed are equal. Set ∠RSP equal to ∠PST.
∠RSP = ∠PST
3x - 2 = 9x - 26
(3x - 2) + 2 = (9x - 26) + 2
3x = 9x - 24
3x - 9x = (9x - 24) - 9x
-6x = -24
(-6x)/-6 = -24/-6
x = 4
Now that you know the value of x, add ∠RSP and ∠PST. This will give you m∠RST.
m∠RST = (3x - 2) + (9x - 26)
m∠RST = 3x - 2 + 9x - 26
m∠RST = 12x - 2 - 26
m∠RST = 12x - 28
m∠RST = 12(4) - 28
m∠RST = 48 - 28
m∠RST = 20
