IXL - Inscribed angles (Geometry practice)

What is

∠

144°

∠

ref_doc_title.

Learn with an example

question

What is

∠

114°

∠

key idea

In the diagram below,

∠

is an inscribed angle,

∠

is a central angle and

is the arc they both intercept.

The Inscribed Angle Theorem states that the measure of an inscribed angle is half the measure of the central angle that intercepts the same arc:

∠

solution

Look at the diagram:

114°

∠

is an inscribed angle that intercepts the same arc as the central angle

∠

so use the Inscribed Angle Theorem.

∠

Inscribed Angle Theorem

∠

Inscribed Angle Theorem

Plug in

∠

114°

(

114°

)

Plug in

∠

114°

Multiply

57°

Multiply

∠

is 57°.

Looking for more? Try these:

Lesson: Inscribed angles

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Teacher tools

Work it out

Not feeling ready yet? These can help:

W.2Central angles and arc measures

C.4Find measures of complementary, supplementary, vertical, and adjacent angles

Lesson: Inscribed angles

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