Question

A central angle has a measure of 42 degrees. What is the measure of the inscribed angle that subtends it? Enter just the numeric value below. Do NOT include the unit of measurement.

A) 21
B) 42
C) 84
D) 126

Answer 1

The measure of an inscribed angle is half of the corresponding central angle. For a central angle of 42 degrees, the inscribed angle would be 21 degrees.

The right answer isB) 42

Step-by-step explanation:

In the context of a circle, the measure of an inscribed angle is always half the measure of the corresponding central angle that subtends the same arc. In this particular case, given that the central angle has a measure of 42 degrees, the inscribed angle that subtends it would be half of that value.

Therefore, to find the measure of the inscribed angle, we can use the following calculation:

Measure of inscribed angle = (1/2) × Measure of central angle

Measure of inscribed angle = (1/2) × 42 degrees

Measure of inscribed angle = 21 degrees

So, the correct numeric value for the measure of the inscribed angle is 21, which corresponds to option A in the question provided.

The right answer isB) 42