Triangle Angle-Sum Theorem

Triangle Angle-Sum Theorem

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How many degrees are in a triangle?

 $Find\ m\angle C$  

•  $m\angle A+m\angle B+m\angle C=180\degree$  

•  $120\degree+34\degree+m\angle C=180\degree$  

•  $154\degree+m\angle C=180\degree$  

•  $m\angle C=26\degree$  

 $Find\ m\angle T$  

•  $m\angle A+m\angle M+m\angle T=180\degree$  

•  $27\degree+82\degree+m\angle T=180\degree$  

•  $109\degree+m\angle T=180\degree$  

•  $m\angle T=71\degree$  

 $Find\ m\angle D$  

•  $m\angle D+m\angle G+m\angle O=180\degree$  

•  $m\angle D\ +\ 90\degree+41\degree=180\degree$  

•  $m\angle D+131\degree=180\degree$  

•  $m\angle D=49\degree$  

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Solve for x.

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Solve for x.

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Solve for x.

Solve for x.

• 7x - 11 + 5x - 2 + 2x - 3 = 180

• 14x - 16 = 180

• 14x = 196

• x = 14

Solve for x.

• 2x + 1 + 90 + 5x + 5 = 180

• 7x + 96 = 180

• 7x = 84

• x = 12

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Solve for x.

Fill in the Blanks

Solve for x.

Multiple Choice

The sum of the interior angles of a triangle is ____.

• 90⁰

• 180⁰

• 360⁰

• 60⁰