Based on the central angle theorem:
1. m<RQS = 100°
2. m<IJH = 70°
3. m<TQR = 100°
<h3>What is the Central Angle Theorem?</h3>
The measure of the central angle of a circle is the same as the measure of the intercepted arc, according to the central angle theorem.
1. m<RQS = measure of arc RS [central angle theorem]
Measure of arc RS = 180 - 80
Measure of arc RS = 100°
m<RQS = 100°
2. m<IJH = measure of arc HI [central angle theorem]
Measure of arc HI = 360 - 140 - 150
Measure of arc HI = 70°
m<IJH = 70°
3. m<TQR = measure of arc TR [central angle theorem]
Measure of arc TR = 360 - 120 - 140
Measure of arc TR = 100°
m<TQR = 100°
Learn more about the central angle theorem on:
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