144k views
3 votes
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?-example-1
User Kdheepak
by
4.2k points

2 Answers

3 votes

Answer: 43

Step-by-step explanation: Khan Academy

User Joe Isaacson
by
3.9k points
1 vote

Answer:

43°

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°

User Nick Shmick
by
4.5k points