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Triangle Angle-Sum Theorem

Triangle Angle-Sum Theorem

Assessment

Presentation

Mathematics

9th - 12th Grade

Practice Problem

Medium

CCSS
8.G.A.5, HSG.SRT.D.10, HSG.SRT.D.11

Standards-aligned

Created by

Paulo Leal

Used 75+ times

FREE Resource

7 Slides • 7 Questions

1

Triangle Angle-Sum Theorem

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2

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3

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4

 Find mCFind\ m\angle C  

  •  mA+mB+mC=180°m\angle A+m\angle B+m\angle C=180\degree  

  •  120°+34°+mC=180°120\degree+34\degree+m\angle C=180\degree  

  •  154°+mC=180°154\degree+m\angle C=180\degree  

  •  mC=26°m\angle C=26\degree  

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5

 Find mTFind\ m\angle T  

  •  mA+mM+mT=180°m\angle A+m\angle M+m\angle T=180\degree  

  •  27°+82°+mT=180°27\degree+82\degree+m\angle T=180\degree  

  •  109°+mT=180°109\degree+m\angle T=180\degree  

  •  mT=71°m\angle T=71\degree  

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6

 Find mDFind\ m\angle D  

  •  mD+mG+mO=180°m\angle D+m\angle G+m\angle O=180\degree  

  •  mD + 90°+41°=180°m\angle D\ +\ 90\degree+41\degree=180\degree  

  •  mD+131°=180°m\angle D+131\degree=180\degree  

  •  mD=49°m\angle D=49\degree  

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7

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8

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9

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10

Solve for x.

  • 7x - 11 + 5x - 2 + 2x - 3 = 180

  • 14x - 16 = 180

  • 14x = 196

  • x = 14

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11

Solve for x.

  • 2x + 1 + 90 + 5x + 5 = 180

  • 7x + 96 = 180

  • 7x = 84

  • x = 12

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12

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13

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14

Multiple Choice

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

1

90⁰

2

180⁰

3

360⁰

4

60⁰

Triangle Angle-Sum Theorem

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