Lesson Worksheet: Angles of Tangency Mathematics • 11th Grade

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In this worksheet, we will practice identifying the angle of tangency in a circle and find its measure using the measure of its subtended arc, inscribed angle, or central angle subtended by the same arc.

Q1:

Given that is a tangent to the circle below, find .

Q2:

Find .

Q3:

Given that is a tangent to the circle, find .

Q4:

Given that and , find and .

A54, 84
B48, 84
C78, 84
D78, 102
E54, 126

Q5:

Find .

Q6:

Find .

Q7:

Find .

Q8:

is tangent to the circle of center at . Find .

Q9:

Suppose that is a tangent to the circle with center at , , and . Find .

Q10:

In the given figure, if , which of the following is a tangent to the circle that passes through the vertices of the triangle ?

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