IXL - Tangent lines (Geometry practice)

is tangent to

⨀N

What is

∠

68°

∠

ref_doc_title.

Learn with an example

question

is tangent to

⨀K

What is

∠

31°

∠

key idea

is the center of a circle and

is a point on that circle, then

is tangent to

⨀C

if and only if

is perpendicular to

solution

Look at the diagram.

31°

Since

is tangent to

⨀K

△

MNP

is a right triangle with right angle

∠

So,

∠

and

∠

are complementary. Write an equation setting the sum of their measures equal to 90°, and solve for

∠

90°

∠

31°

Plug in

∠

31°

90°

Plug in

∠

31°

∠

Subtract 31° from both sides

59°

Subtract 31° from both sides

∠

is 59°.

Looking for more? Try these:

Lesson: Tangent to a circle

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Work it out

Not feeling ready yet? These can help:

P.1Pythagorean theorem

Lesson: Tangent to a circle

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