In the figure, PS ⊥ l, RQ ⊥ l, the degree measure of y is (a) 55°(b) 90° (c) 80°(d) 135°
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Answer:
y = 80
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Given : PS ⊥ l and RQ ⊥ l
To Find : Measure of y
Solution:
PS ⊥ l and RQ ⊥ l
=> PS || RQ
Hence ∠PSR + ∠QRS = 180° ( co interior angles)
=> y + ∠QRP + ∠SRP = 180°
=> y + 55° + ∠SRP = 180°
=> y + 55° = 180° - ∠SRP
180° - ∠SRP = 135° Linear pair
=> y + 55° = 135°
=> y = 80°
measure of y is 80°
Correct option is c) 80°
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