buugmeenoot
buugmeenoot buugmeenoot
  • 12-05-2020
  • Mathematics
contestada

On circle O below, the measure of LI is 97. What is the measure of FL?

On circle O below the measure of LI is 97 What is the measure of FL class=

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sqdancefan
sqdancefan sqdancefan
  • 12-05-2020

Answer:

  43°

Step-by-step explanation:

The interior angle at P and the one at L are supplementary, so ...

  ∠P = 180° -∠L = 180° -110° = 70°

The arc intercepted by ∠P is twice that measure, so we have ...

  arc FI = 2·70° = 140°

This is the sum of the measures of arc FL and arc LI, so ...

  arc FL +97° = 140°

  arc FL = 43°

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iggypop027 iggypop027
  • 28-05-2021

Answer: 43

Step-by-step explanation: Khan Academy

Answer Link

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