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