Inscribed Angles and Quadrilaterals in Circles

Front

Inscribed angle: an angle with its vertex _____________ the circle

Back

on

Front

If angle a = 93 degrees, what is angle b?

Back

74 degrees

Front

What is the measure of arc DC if the inscribed angle subtended by it is 61 degrees?

Back

122 degrees

Front

Solve for x if the inscribed angle is 32 degrees.

Back

x = 16

Front

What is the value of x if the inscribed angle is 22 degrees?

Back

22

Front

Definition of an inscribed angle.

Back

An inscribed angle is formed by two chords in a circle which have a common endpoint.

Front

What is the relationship between an inscribed angle and the arc it subtends?

Back

The inscribed angle is half the measure of the arc it subtends.

Front

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

Back

They are equal.

Front

What is the sum of the measures of opposite angles in a cyclic quadrilateral?

Back

180 degrees.

Front

If angle A and angle C are opposite angles in a cyclic quadrilateral, and angle A = 88 degrees, what is angle C?

Back

92 degrees.