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°.
[tex]\frac{20^{\circ}}{2}=10^{\circ}[/tex]
This means that an inscribed angle with measure of 10° will intercept to the our given arc. Therefore, option D is the correct choice.
