Question

in the adjoining figure , PQ||RS then find anle Q and angle P

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Answer 1

Answer:

Angle P = 70°

Angle Q=90°

Explanation:

For detailed explanation refer to the image attached.

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Answer 2

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Using the fact that OP || RS, we know that

∠RWV = 180° − 130°

1.  ∠RWV = 50° 

We know that,

∠PWQ = ∠RWV = 50° (Since, opposite angles of intersecting lines are equal)

Also, for line OP

∠OQP + θ = 180°

θ = 180° − ∠OPQ = 180° − 110°

2.  θ = 70°

Now, we know that sum of angles of a triangle is 180°,

∠PQR + θ + ∠PWQ = 180°

∠PQR = 180° − θ − ∠PWQ = 180° − 70° − 50°

∠PQR = 180° − 120°

∠PQR = 60°