12-4 Angle Measures & Segment Lengths

Angle Measures & Segment Lengths

By Deb Scott

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Solve for x.

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Find x.

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Solve for x.

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Find x.

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Solve for x.

Exterior Angle

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Solve for x. Just type in the numeric value.

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Solve for x.

Interior Angle

• An interior angle has a vertex inside the circle and is formed by two intersecting chords/secants.

• The measure of an interior angle is half the sum of its corresponding arcs.

• (arc1 + arc2)/2

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What is the measure of the angle DBC?

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Find the measure of minor arc SN (where the question mark is). Type in the numeric value.

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Find the measure of  $\angle KML$ .

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Find  $m\angle EDF$ . Type in the numeric value.

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What is the measure of x?

With tangents and secants, there is an intersection point OUTSIDE the circle. Formula is half the difference of the arcs.

The question asks us to find the outside angle C. How can we do that if we're only given one angle?

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What is the measure of angle x?

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Find that x

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The picture changes a little each time, but the method of doing these problems doesn't! What's x?

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What is the value of x?

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What is the value of y? Round to the nearest whole number.