IXL - Angles formed by chords, secants, and tangents (Geometry practice)

is tangent to the circle at

Find the measure of

∠

Write your answer as a whole number or a decimal.

∠

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question

is tangent to the circle at

Find the measure of

∠

Write your answer as a whole number or a decimal.

∠

key idea

When two tangents intersect, the measure of the angle formed is half the difference of the measures of the intercepted arcs.

∠

(

–

)

solution

Tangents

and

intersect at

To find the measure of

∠

you need to know the measures of both intercepted arcs. Since the major and minor arcs together form the entire circle, you can find the measure of the major arc by subtracting

107

from

360

major arc measure

360

–

107

253

Now find the measure of

∠

(

253

–

)

(

253

–

107

)

So, the measure of

∠

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