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Question

In Fig., line CA ⊥ AB || line CR and line PR || line BD. Find ∠x, ∠y and ∠z.

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Solution

Since CA ⊥ AB,
x=90°
We know that the sum of all the angles of triangle is 180°.
In APQ,QAP+APQ+PQA=180°90°+APQ+20°=180°110°+APQ=180°APQ=180°-110°=70°
PBC = APQ = 70° (Corresponding angles)
Since PRC+z=180° Linear pair
z=180°-70°=110° APQ=PRC Alternate interior angles

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