Question

question 21 of 25
if the measure of a tangent - chord angle is 74°, then what is the measure of the intercepted arc inside the angle?
a. 148°
b. 286°
c. 74°
d. 37°

Explanation:

Step1: Recall tangent-chord angle theorem

A tangent-chord angle is half the measure of its intercepted arc.

Step2: Calculate intercepted arc measure

Let the intercepted arc measure be $x$. Then $74^\circ = \frac{x}{2}$, so $x = 74^\circ \times 2$.
<Expression>
$x = 74^\circ \times 2 = 148^\circ$
</Expression>

Answer:

A. $148^\circ$