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Copy of 8.1 Using Angle Relationships to find Angle Measures (Due 3/8/22) (7/21/2024)

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Use this video to help you answer the question on the assignment.

Angles formed by Intersecting Lines

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Angles formed by Intersecting Lines

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Angles formed by Intersecting Lines

Angles formed by Intersecting Lines

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Essential Question: How can you find the measures of angles formed by intersecting lines? Learning Target: Students will be able to classify angles formed by intersecting lines and apply that knowledge to calculate the angle measurements.

Complete the entire document and show all work for full credit.

Essential Question: How can you find the measures of angles formed by intersecting lines? Learning Target: Students will be able to classify angles formed by intersecting lines and apply that knowledge to calculate the angle measurements.

Complete the entire document and show all work for full credit.

Pitanje 1
1.

Match the definition of the angle relationship with the angle relationships it describes...

Stavka koja se može prevućiarrow_right_altOdgovarajuća stavka

Any two angles whose sum is 180°

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Vertical angles

Two angles that are

adjacent and supplementary.

They form astraight line!

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Supplementary angles

Two angles that share a vertex and

a common side. They are next to each other

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Complementary angles

Any two angles whose sum is 90°

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Linear pairs

Two angles across from each other on

intersecting lines. They share a vertex and they are always congruent!

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Adjacent Angles

Pitanje 2
2.

Draw an example of vertical angles.

Pitanje 3
3.

Draw an example of adjacent angles.

Pitanje 4
4.

Draw an example of supplementary angles.

Pitanje 5
5.

Draw an example of complementary angles.

Pitanje 6
6.

Select all the adjacent angles to ∠1

Pitanje 7
7.

Select all the vertical angles to ∠6

Pitanje 8
8.

Match the image with the angle relationship it describes...

Stavka koja se može prevućiarrow_right_altOdgovarajuća stavka

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Vertical angles

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Supplementary angles

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Complementary angles

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Linear pairs

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Adjacent Angles

Pitanje 9
9.

What is the value of x?

Pitanje 10
10.

What is the value of x?

Pitanje 11
11.

What is the value of x?

Pitanje 12
12.

What is the value of y?

Pitanje 13
13.

What is the value of x?

Pitanje 14
14.

What is the value of z?

Pitanje 15
15.

What is the value of z?

Pitanje 16
16.

What is the value of y?

Pitanje 17
17.

What is the value of x?

Pitanje 18
18.

∠1 and ∠2 are vertical angles. If the measure of ∠2 is 105°, find the measure of ∠1.

Pitanje 19
19.

∠A and ∠B are complementary angles. If the measure of ∠A is 42°, find the measure of ∠B.

Pitanje 20
20.

∠P and ∠Q are supplementary angles. If the measure of ∠Q is 64°, find the measure of ∠P.

Pitanje 21
21.

What is the correct order of steps to solve this problem?

  1. Make 3x+47 equal to 6x-25; because vertical angles are equal

  2. 6(24)-25=119; therefore the m∠SQR=119°

  3. x=24

  4. Add 25 to both sides of the equation

  5. Subtract 3x from both sides of the equation

  6. Substitute 24 for x into 6x-25 to find out what the m∠SQR equals

  7. Divide both sides of the equation by 3

Pitanje 22
22.

If m∠PQT =109° and m∠SQR = (4x – 15)°, find the value of x.

Pitanje 23
23.

If m∠PQT =109° what is the measure of m∠TQR?.

Pitanje 24
24.

If m∠DEG = (5x – 4)°, m∠GEF = (7x – 8)°, m∠DEH = (9y + 5)°, find the value of x.

Pitanje 25
25.

What is the measure of∠GEF?

Pitanje 26
26.

If m∠DEG = (5x – 4)°, m∠GEF = (7x – 8)°, m∠DEH = (9y + 5)°, find the value of y.