Answer:
Explanation:
You want to know the measures of designated arcs in the given circle geometry.
External angle
The angle at Q is half the difference of intercepted arcs MS and PR:
Q = (MS -PR)/2
2Q = MS -PR . . . . . . multiply by 2
PR = MS -2Q = 80° -2(26°) . . . . . . add PR-2Q
PR = 28°
Sum of arcs
The measure of an arc is the sum of the measures of its parts:
LR = LP +PR
LP = LR -PR = 100° -28° . . . . . . subtract PR
LP = 72°