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Please help me solve this I need to show my work please help me

Please help me solve this I need to show my work please help me-example-1
User Nandun
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1 Answer

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Answer:

  • PR = 28°
  • LP = 72°

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°

User Herik
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