The inscribed angle is half that of the arc it comprises. The measure of both the angle is 52°.
How do we relate the inscribed angle and the arc?
we know that the inscribed angle is half that of the arc it comprises.
Here, the arc that the inscribed angles comprise is the same.
2(3m+2)° = (4m+20)°
Solve for m
6m + 4 = 4m + 20
6m - 4m = 20 - 4
2m = 16
m = 8
To find the measure of the angle
(4m+20)°= 4(8) + 20 = 52°
2(3m+2)° = 2(26) = 52
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