Quadrilateral OPQR is inscribed inside a circle as shown bel
Quadrilateral OPQR is inscribed inside a circle as shown below. What is the measure of angle R? You must and calculations to receive credit.
Solution
Angles in quad in a circle sum upto 2*180 = 360
Opp. angles in quad sum to 180
This means that:
2x+2x+4 = 4x+4=180.
x= 44
Also, 3y+8+y = 4y+8=180, y = 43
R measures therfore 3y+8 = 3*43+8 = 137
