Question

In cyclic quadrilateral, angle A - angle C = 30°, then find angle C.​

Answer 1

Answer:

Here is the solution

Angle A_AngleC=180°(opposite angles of cyclic quadrilateral are supplementary)

180°_angle C =30°

180°_30°= Angle C

150°= Angle C

Angle C =150°

Answer 2

Angle C is 75°.

Step-by-step explanation:

Given : In cyclic quadrilateral, angle A - angle C = 30°.

To find : Angle C ?

Solution :

We know that,

Opposite angles of cyclic quadrilateral are supplementary i.e. they add up-to 180°.

i.e. $\angle A+\angle C=180^\circ$  ....(1)

We have given, $\angle A-\angle C=30^\circ$  .....(2)

Substitute angle A from (1) into (2),

$180-\angle C-\angle C=30^\circ$

$2\angle C=180-30^\circ$

$2\angle C=150^\circ$

$\angle C = 75^\circ$

Therefore, angle C is 75°.

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