Question

Find the angle measure and show work. (100pts)

Answer 1

m(PR) = 120°

Explanation:

∠P+∠Q+∠R+∠O = 360° } => ∠O = 180° - 60° = 120°

∠P+∠R = 180°

∠O = m(PR) => m(PR) = 120°

Answer 2

120 = m PR

Explanation:

The angle formed outside =1/2(difference of intercepted arcs)

60 = 1/2 (major arc - minor arc)

60 = 1/2 (longPR - short PR)

120 = long PR - short PR

long PR = 360 - short PR since a circle is 360 degree

120 = 360 - short PR - short PR

120 = 360 -2 short PR

Subtract 360 from each side

120-360 = -2 short PR

-240 = -2 short PR

Divide by -2

120 = m PR