Question

ABCD and EFGH are parellelograms where AD || BC and EH || FG . Find x if angle EFG = 65 and angle Adg = 130​

Answer 1

Step-by-step explanation:

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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∘