Angle Measures & Segment Lengths

Front

What is the measure of angle ABD if it is given that angle ABD = 51°?

Back

Angle ABD measures 51°.

Front

What is the formula to find the measure of an angle formed by two intersecting chords in a circle?

Back

The measure of the angle formed by two intersecting chords is equal to half the sum of the measures of the intercepted arcs.

Front

If minor arc BD = 70° and minor arc CA = 180°, what is the measure of angle AED?

Back

Angle AED measures 55°.

Front

What is the relationship between the measures of angles formed by intersecting chords and the arcs they intercept?

Back

The measure of an angle formed by two intersecting chords is equal to half the sum of the measures of the intercepted arcs.

Front

If ∠ BED is formed by intersecting chords and ∠ BED = 100°, what is the measure of arc AC if minor arc BD = 94°?

Back

Arc AC measures 106°.

Front

What is the value of y if it is given that y = 16?

Back

The value of y is 16.

Front

What is the value of x if it is given that x = 8?

Back

The value of x is 8.

Front

Define 'intercepted arc' in the context of circles.

Back

An intercepted arc is the part of a circle that lies between two lines, rays, or segments that intersect the circle.

Front

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

Back

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

Front

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

Back

Add the measures of the two intercepted arcs and divide by 2.