If the measure of a tangent-chord angle is 74, then what is the measure of the intercepted arc inside the angle?A.286B.74C.37D.148SUBMITarrow_backPREVIOUS
Question
If the measure of a tangent-chord angle is 74, then what is the measure of the intercepted arc inside the angle?A.286B.74C.37D.148SUBMITarrow_backPREVIOUS
Solution
The measure of an intercepted arc is twice the measure of the angle formed by a chord and a tangent that intersects at the end of the chord. This is known as the Tangent-Chord Theorem.
Given that the measure of the tangent-chord angle is 74 degrees, the measure of the intercepted arc would be 2 * 74 = 148 degrees.
So, the answer is D. 148.
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