Question

The opposite angle of a quadrilateral are (3x + 20)0

and (2x + 30)0 and it inscribed in a circle.

Find their measures ?​

Answer 1

A quadrilateral inscribed in a circle is called a cyclic quadrilateral

Opposite angles of a cyclic quadrilateral sum up to 180°

(3x+20)° + (2x+30)° = 180°

5x+50 = 180

5x = 130

x = 26

∠A = 3×26+20

= 78+20

= 98°

∠C = 2×26+20

= 52+20

= 72°

:-)

Answer 2

Answer:

72 degrees

I hope this answer is correct