11. In the below left figure, find the ZX.
110
R
S
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Answered by
3
Answer:
80° = Angle PQR
Step-by-step explanation:
QY & TR intersect at P
Therefore,
angle QPY = angle TPR VOA.
We know sum of any 2 adjacent angles is equal to the exterior angle opposite to them,
Therefore,
angle QPY + angle PQR = angle PRS
30°+ Angle PQR = 110°
Angle PQR = 110°-30° = 80° Answer
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Answered by
3
ANSWER:
80°
STEP BY STEP EXPLANATION:
GIVEN: 1. angle TPV = 30°
2. angle TRS = 110°
TO FIND: x(angle VQR or PQR)
PROOF: angle TVP = 30° (given)
angle QPR = TVP (Vertically opposite angle)
• angle QPR = 30°
x + QPR = 110° ( Exterior angle property of ∆)
x = 110° - QPR
x = 110° - 30°
• x = 80°
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