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

 Quadrilateral OPQR is inscribed inside a circle as shown below. What is the measure of angle R? You must and calculations to receive credit. SolutionAngles in

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