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1.3 Line and Angle Relationships: Pulling a One-Eighty!

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Last updated over 2 years ago
15 questions

Remember:

The sum of the measures of the interior angles of a triangle is 180°.

a + b + c = 180

The measure of the exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles of the triangle.

a + b = d

Yes, you need the word degrees or the degree symbol for answers that are angle measures.

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Question 1
1.
The __________states that the sum of the measures of the interior angles of a triangle is 180°.

The __________states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles of the triangle.

The __________are the two angles that are non-adjacent to the specified exterior angle.

A(n) __________is  formed by extending a side of a polygon.
Use the figure shown to answer each question.

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Question 2
2.

Calculate the measure of ∠PMU.

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1
Question 3
3.

Calculate the measure of ∠UPM.

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3
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3
Determine the measure of the unknown angle in each triangle.



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Question 6
6.

Measure of Angle B

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Question 7
7.

Measure of Angle R

Determine the measure of the unknown angle in each triangle.



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Question 8
8.

Measure of Angle L

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Question 9
9.

Measure of Angle G

List the side lengths from shortest to longest.


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3
Question 10
10.

List the side lengths from shortest to longest.

  1. k
  2. l
  3. m
List the side lengths from shortest to longest.



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3
Question 11
11.

List the side lengths from shortest to longest.

  1. c
  2. e
  3. d
  4. a
  5. b
Question 12
12.

Determine the value of x.

Question 13
13.

Determine the value of x.

Question 14
14.

Determine the value of x.

Question 15
15.

Determine the value of x.

Question 4
4.

List the sides of triangle PMB in order from shortest to longest.

  1. MB
  2. PM
  3. PB
Question 5
5.

List the sides of triangle PUB in order from shortest to longest.

  1. PB
  2. UB
  3. UP