Inscribed Angles and Polygons

Find the indicated measure.

• 20

• 40

• 80

• 320

Find the indicated measure.

• 36

• 72

• 144

• 288

Find the indicated measure.

• 30.5

• 61

• 122

• 299

In the diagram, which statement is true?

• ∠SPR ≅ ∠PSQ

• ∠RQS ≅ ∠RPS

• ∠RPS ≅ ∠PRQ

• ∠PRQ ≅ ∠SQR

Find the value of each variable.

• x=220 y= 134

• x=110 y=226

• x=226 y=134

• x=110 y=67

Find the value of each variable.

• x=99 y=81

• x=99 y=90

• x=90 y=81

• x=180 y=162

Find the value of each variable.

• x=117 y=115

• x=234 y=230

• x=39 y=29

• x=351 y=464

Describe and correct the error in finding m∠B.

• m∠B=95°

• m∠B=170°

• m∠B=190°

• No error. m∠B=85°

You make a design using a pencil and a circular wheel, as shown. Find m∠ABC and m∠ACB.

• m∠ABC=62.3° m∠ACB=83.1°

• m∠ABC=62.3° m∠ACB=117.7°

• m∠ABC=124.6° m∠ACB=235.4°

• m∠ABC=124.6° m∠ACB=69.2°

• A

• B

• C

• D