Given:
∠STU = 8x ∠RST = (7x – 54)
Solution: ∠SRT + ∠RST = 8x (exterior angle is sum of interior angles) ∠SRT + (7x – 54) = 8x ∠SRT = 8x – (7x – 54) = x + 54
∠STR + ∠STU = 180 is the linear pair
x + 54 + 8x = 180
9x = 126
x = 14
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