Question

Quadrilateral ABCD ​ is inscribed in this circle.

What is the measure of angle C?

Answer 1

<C =120

Explanation:

Since the figure in inscribed in the circle, <A = <C and <B = <D

<B= <D

2x-1=3x-59

Subtract 2x from each side

2x-2x-1=3x-2x-59

-1= x-59

Add 59 to each side

-1+59 = x-59+59

58 =x

<A = 2x+4

<A= 2(58) +4

= 116+4

<A =120

<C = <A

<C =120