Angles Inside and Outside Circles

Front

What is the measure of arc AB if the angle at the center is 142 degrees?

Back

The measure of arc AB is 142 degrees.

Front

Solve for x in the equation: 40 = 1/2(x - 75)

Back

x = 155.

Front

What is the measure of an angle inside a circle formed by two chords that intersect?

Back

The measure of the angle is equal to half the sum of the measures of the arcs intercepted by the angle.

Front

What is the relationship between the angle formed outside a circle and the arcs it intercepts?

Back

The angle formed outside the circle is equal to half the difference of the measures of the intercepted arcs.

Front

If angle 1 measures 65 degrees, what is the measure of the arc it intercepts?

Back

The measure of the arc is 130 degrees.

Front

What is the formula to find the measure of an inscribed angle?

Back

The measure of an inscribed angle is half the measure of the intercepted arc.

Front

How do you find the measure of an angle formed by two secants intersecting outside a circle?

Back

The angle is equal to half the difference of the measures of the intercepted arcs.

Front

What is the measure of arc SW if 40 = 1/2(x - 75)?

Back

The measure of arc SW is 40 degrees.

Front

What is the measure of an angle formed by a tangent and a chord?

Back

The angle is equal to half the measure of the intercepted arc.

Front

If two chords intersect inside a circle, how do you find the measure of the angles formed?

Back

The measure of each angle is equal to half the sum of the measures of the arcs intercepted by the angle.