Question

Find the measure of the arc. *
X
42°
V
W
?
O 42 degrees
84 degrees
0 21 degrees
O 81 degrees

Answer 1

The measure of the intercepted arc is: B. 84°.

The Inscribed Angle Theorem

Based on the inscribed angle theorem, if an inscribed angle measures A, and the intercepted arc measures B, therefore, A = 1/2(B).

Thus, given the following:

• Inscribed angle = 42°
• intercepted arc = WV = ?

Thus:

42 = 1/2(WV)

WV = 2(42)

WV = 84°

Therefore, the measure of the intercepted arc is: B. 84°.

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