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
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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
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
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
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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
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