In a circle, if a central angle measures 80 degrees, what is the measure of the inscribed angle that subtends the same arc?
Practice Questions
1 question
Q1
In a circle, if a central angle measures 80 degrees, what is the measure of the inscribed angle that subtends the same arc?
20 degrees
40 degrees
80 degrees
160 degrees
The inscribed angle is half the measure of the central angle that subtends the same arc. Therefore, the inscribed angle measures 80/2 = 40 degrees.
Questions & Step-by-step Solutions
1 item
Q
Q: In a circle, if a central angle measures 80 degrees, what is the measure of the inscribed angle that subtends the same arc?
Solution: The inscribed angle is half the measure of the central angle that subtends the same arc. Therefore, the inscribed angle measures 80/2 = 40 degrees.