In the adjoining figure, ABCD is a parallelogram in which ∠A = 72°. Calculate ∠B, ∠C and ∠D.
  • a)
    108° , 72°
  • b)
    125°, 55°
  • c)
    100° ,100°
  • d)
    52°, 65°
Correct answer is option 'A'. Can you explain this answer?

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Answers

Abhishek Mohan
Nov 28, 2019
Solution-
As we all know opposite angles of parallelogram are equal 1
angle A = angle C
so if angle A is 72 degree then angle C must be 72 degree
angle B = 180- angle A { because sum of adjacent angle is equal to 180 degree }
angle B = 180 - 72
=108 degree
so from equation 1
angle B = angle D
so angle D is also equal to 108 degree

Mani Kuttan
Nov 27, 2019
A=C
C=72
72+72 +D+B=360
D+B=360-144
D=B=1/2
1/2 +360-144
1/2+216
108

Solution-As we all know opposite angles of parallelogram are equal 1angle A = angle Cso if angle A is 72 degree then angle C must be 72 degree angle B = 180- angle A { because sum of adjacent angle is equal to 180 degree }angle B = 180 - 72=108 degreeso from equation 1 angle B = angle Dso angle D is also equal to 108 degree
Solution-As we all know opposite angles of parallelogram are equal 1angle A = angle Cso if angle A is 72 degree then angle C must be 72 degree angle B = 180- angle A { because sum of adjacent angle is equal to 180 degree }angle B = 180 - 72=108 degreeso from equation 1 angle B = angle Dso angle D is also equal to 108 degree