Rs bisects angle qrt, the measure of angle qrs = (3x + 28) and the measure of angle trs = (5x - 12) . What is the measure of angle qrt
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Answer:
176 degrees
Step-by-step explanation:
∠QRT is got bisected by line RS.
It forms 2 equal angles ∠QRS and ∠TRS.
Since rs is bisecting the angle ∠QRT, above angles are equal.
∠QRS = ∠TRS
Given that ∠QRS = 3X + 28 and ∠TRS = 5X - 12.
3X + 28 = 5X - 12
2X = 40
X = 20.
Therefore ∠QRS = 3X+28 = 88.
∠QRT = 2* ∠QRS = 2 * 88 = 176 degrees.
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