In parallelogram ABCD angle C = 65°, then calculate i) angle b + angle D ii) angle B + angle C
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Step-by-step explanation:
Let ABCD be a parallelogram in which ∠A=65∘
Since AD∥BC we can treat AB as a transversal. So,
∠A+∠B=180∘
65∘+∠B=180∘
∠B=180∘−65∘
∠B=115∘
Since the opposite angles of a parallelogram are equal, we have
∠C=∠A=65∘
and ∠D=∠B=115∘
Hence, ∠B=115∘
,∠C=65∘
and ∠D=115∘
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