Answer :

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 + ADC = 180°


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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