Question

∠A and ∠B are congruent and if ∠A=65°, then ∠B=?

Answer 1

Step-by-step explanation:

Let ABCD be a parallelogram in which ∠A=65

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Since AD∥BC we can treat AB as a transversal. So,

∠A+∠B=180

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65

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+∠B=180

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∠B=180

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−65

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∠B=115

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Since the opposite angles of a parallelogram are equal, we have

∠C=∠A=65

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and ∠D=∠B=115

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Hence, ∠B=115

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,∠C=65

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and ∠D=115

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