What is the missing measure of a triangle with the side length of 19 17 and x
1 answer:
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Answer:
130°
Step-by-step explanation:
See the attached diagram.
Given that ∠ ROS = ∠ TOU = 9x + 5
Again, ∠ ROT = 13x + 15.
Therefore, 13x + 15 + 2 (9x + 5) = 180
⇒ 31x + 25 = 180
⇒ 31x = 155
⇒ x = 5
Hence, ∠ SOT = ∠ SOR + ∠ ROY = 9x + 5 + 13x + 15 = 22x + 20 = 130°
(Answer)
