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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

x=6 and x=3

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