Question

Which angles intercept a 20° arc in a circle? Select all that apply.*A central angle of 10°*A central angle of 20°*A central angle of 40°*An inscribed angle of 10°*An inscribed angle of 20°*An inscribed angle of 40°​

Answer 1

We are asked to choose the angles that intercept a 20° arc in a circle.

We know that the measure of central angle is equal to the measure of its intercepted arc.

This means that a central angle with a measure of 20° will intercept to the our given arc. Therefore, option B is the correct choice.

We also know that the measure of inscribed angle is half the measure of its intercepted arc.

Let us find half of 20°.

$\frac{20^{\circ}}{2}=10^{\circ}$

This means that an inscribed angle with measure of 10° will intercept to the our given arc. Therefore, option D is the correct choice.