Question

Pqrs is a parallelogram. Find the value of a ,b and c in the following figures

Answer 1

Answer:

From the figure, it is given that, ABCD and PQRS are two parallelograms.

∠A=120

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and ∠R=50

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We know that, ∠A+∠B=180

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120

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+∠B=180

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∠B=180

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−120

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∠B=60

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In parallelogram opposite angles are equal, Then, consider the triangle MPB We know that the sum of measures of interior angles of the triangle is equal to 180

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.

∠PMB+∠P+∠B=180

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x+50

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+60

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=180

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x+110

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=180

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By transposing we get,

x=180

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−110

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Therefore, value of x=70

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