Question

Find the measure of angle POQ from given figure.!​

Answer 1

Answer:

110°

Explanation:

If two straight lines intersect the measures of vertically opposite angles are equal

So ∠POQ = 110

0

Answer 2

Answer:

IN Triangle PRQ :- 80 + 2x + 2y = 180°

: $\implies$ 2x + 2y = 100

: $\implies$ 2( x + y) = 100

: $\implies$ x + y = $\dfrac{100}{2}$

: $\implies$ x + y = $\boxed{\sf{50}}$

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IN Triangle POQ

Angle POQ + x + y = 180

Angle POQ + 50 = 180

Angle POQ = 180 - 50

Angle POQ = $\boxed{\sf{130}}$