Question

In a parallelogram ABCD if angle b = 135 degree. Determine the measures of its other angles?​

Answer 1

Solution:-

In ABCD is a parallelogram, ∠B=135

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(Given)

We know that opposites angles of a parallelogram are equal

⇒∠B=∠D

∴∠D=135

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We know that the interior angles on the same side of a transversal are equal.

So, ∠A+∠B=180

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⇒∠A+135

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=180

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⇒∠A=180

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−135

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=45

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Also, ∠A=∠C (opposite angles of the parallelogram)

Hence ∠C=45

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∴ The angles of the parallelogram are ∠A=45

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, ∠B=135

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, ∠C=45

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and ∠D=135

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