IXL - Angles in inscribed quadrilaterals II (Geometry practice)

Find

∠

ref_doc_title.

Learn with an example

question

Find

112

key idea

The Inscribed Angle Theorem states that the measure of an inscribed angle is half the measure of the arc it intercepts.

m
∠
B
=
1
2
m
AC
or
m
AC
=
2
m
∠
B

solution

Look at the diagram:

112

Using general facts about inscribed angles and quadrilaterals, solve for the unknown angles and arc measures until you find

Find

Write an equation showing that the measures of

and

sum to

360

since they span an entire circle. Then solve for

360

112

Plug in

112

and

360

Plug in

112

and

260

Add

360

Add

Subtract

260

from both sides

100

Subtract

260

from both sides

So,

100

112

100

Looking for more? Try these:

Lesson: Inscribed angles

$Confetti$

Excellent!

Now entering the Challenge Zone—are you ready?

Questions
answeredQuestions

Time
elapsedTime

hr	min	sec
00	00	06

SmartScore
out of 100
IXL's SmartScore is a dynamic measure of progress towards mastery, rather than a percentage grade. It tracks your skill level as you tackle progressively more difficult questions. Consistently answer questions correctly to reach excellence (90), or conquer the Challenge Zone to achieve mastery (100)! Learn more

Teacher tools

Work it out

Not feeling ready yet? These can help:

W.14Angles in inscribed quadrilaterals I

Lesson: Inscribed angles

Excellent! You got that right!

Jumping to level 1 of 1

Excellent!