Answer:
PR = 53.18°
Explanation:
Given:
m<PTR = 61.99°
arc SQ = 70.80°
Required:
Measure of arc PR
Solution:
Based on the theorem of angles with vertex inside the circle and intercepted arcs, we would have the following equation:
m<PTR = ½(PR + SQ)
Plug in the values
61.99 = ½(PR + 70.80)
Multiply both sides by 2
2*61.99 = PR + 70.80
123.98 = PR + 70.80
123.98 - 70.80 = PR
53.18 = PR
PR = 53.18°