Understanding Inscribed Angles

What is the measure of an inscribed angle that intercepts an arc of 80 degrees?

• 20 degrees

• 80 degrees

• 60 degrees

• 40 degrees

If an inscribed angle measures 30 degrees, what is the measure of the intercepted arc?

• 30 degrees

• 90 degrees

• 120 degrees

• 60 degrees

How does the measure of an inscribed angle relate to the central angle that subtends the same arc?

• The inscribed angle is half the measure of the central angle that subtends the same arc.

• The inscribed angle is twice the measure of the central angle.

• The inscribed angle has no relation to the central angle.

• The inscribed angle is equal to the central angle.

If two inscribed angles intercept the same arc, what can be said about their measures?

• The measures of the two inscribed angles are always different.

• The measures of the two inscribed angles are complementary.

• The measures of the two inscribed angles are equal.

• The measures of the two inscribed angles are supplementary.

Calculate the measure of an inscribed angle if the intercepted arc measures 120 degrees.

• 150 degrees

• 30 degrees

• 60 degrees

• 90 degrees