Q. 495.0( 1 Vote )

# The question cons

Assertion (A) :

Here, in ΔABC

By angle sum property

ABC + BCA + CAB = 180°

70° + 30° + CAB = 180°

CAB = 180° – 70° – 30° = 80°

CAB = BDC = 80° (angles in same segment)

But given that BDC = 70°

Assertion(A) is wrong.

Reason (R) :

ADC = AOC = × 130° = 65°

ABC + 65° = 180°

ABC = 180° – 65° = 115°

Reason (R) is true

Assertion (A) :

ABC + BCA + BAC = 180°

70° + 30° + BAC = 180°

BAC = 180° – 70° – 30°

BAC = 80°

BDC = BAC = 80° (angles in the same segment)

This is false.

Thus, Assertion (A) is false and Reason (R) is true.

Hence, correct choice is D

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