Question

In a cyclic quadrilateral ABCD, if angle B - angle D is 60°. Then angle D =​

Answer 1

Answer:

Solution–

Angle B - Angle D = 60°

Angle D = 60° + Angle B

Step-by-step explanation:

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Answer 2

Answer: (∠B−∠D)=60

o

.(1)

(∠B+∠D)=180

o

(2)

By adding both the equations

∠B−∠D+∠B−∠D=60

+180

So we get

2∠B=240

By division

∠B=120

By substituting equation it in equation (1)

(∠B−∠D)=60

120

−∠D=60

On further calculation

∠D=120

−60

by subtraction

∠D=60

Therefore, the smaller of the two angles ∠D=60

Step-by-step explanation: