Question

M angle R =120 and M angle s = 110
Find m angle t

Answer 1

Step-by-step explanation:

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In figure, if OP∥RS,∠OPQ=110

o

and ∠QRS=130

o

, then ∠PQR is equal to:

243198

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Solution

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Correct option is C)

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°