Question

A quadrilateral PQRS is inscribed in a circle as shown below: what is the measure of the angle Q

Answer 1

120.

Explanation:

2x+4x=180

(2x+4x)=180

6x=180

6x÷6 = 180÷6

x=30.

Then, Substitute for measurement of angle Q

4*30=120.

Angle Q measures 120 degrees.