Question

1. we have a circle with center k with an arc hj with a measure of 40°. what is the measure of angle hij? 40° 20° 60° 80°

Explanation:

Step1: Identify angle type

Angle HIJ is an inscribed angle subtended by arc HJ.

Step2: Apply inscribed angle theorem

Inscribed angle = ½ × measure of subtended arc.
$\angle HIJ = \frac{1}{2} \times 40^\circ$

Answer:

20°