We have a circle with center K with an arc HJ with a measure of 40°. What is the measure of angle HIJ?
40°
60°
80°
20°

The measure of angle HIJ is 20°. The correct option is the last option 20°
From the question, we are to determine the measure of angle HIJ
From one of the Circle theorems, we have that
The angle at the center of a circle is twice the angle at any part of the circumference
From the information,
The measure of arc HJ is 40°. That is, the angle at the center is 40°.
Then, using the above theorem,
Measure of angle HIJ = 40° / 2
Measure of angle HIJ = 20°
Hence, the measure of angle HIJ is 20°. The correct option is the last option 20°
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