InterviewSolution
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InterviewSolution
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In Fig., ABCD is a parallelogram, CE bisects ∠C and AF bisects ∠A. In each of the following, if the statement is true, give a reason for the same. |
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Answer» (i) ∠A = ∠C True, ∠C =∠A = 55° [In a parallelogram opposite angles are equal] (ii) ∠FAB= \(\frac{1}{2}\)∠A True, AF is the angle bisector of angle A (iii) ∠DCE= \(\frac{1}{2}\)∠C True, CE is the angle bisector of angle A (iv) ∠CEB= ∠FAB True, ∠C = ∠A [In a parallelogram opposite angles are equal] [AF and CE are angle bisectors] (v) CE || AF True, Since one pair of opposite angles are equal, therefore Quad AEFC is a parallelogram |
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