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Laabri

#3 Using Angle Relationships to find Angle Measures (Due 1/14/22)

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Last updated 3 months ago
24 Nsɛmmisa
Ɛhia
10
Ɛhia
10
Ɛhia
10
Ɛhia
10
10
10
Ɛhia
5
Ɛhia
5
Ɛhia
5
Ɛhia
5
Ɛhia
5
Ɛhia
5
Ɛhia
5
Ɛhia
5
Ɛhia
5
Ɛhia
5
Ɛhia
5
Ɛhia
5
10
Ɛhia
10
Ɛhia
10
Ɛhia
10
Ɛhia
10
Ɛhia
10
Asemmisa {{asɛmmisaAhyɛnsode}}
1.

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

Draggable itemarrow_right_altCorresponding Item

Any two angles whose sum is 90°

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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 are

next to each other and

share a common side.

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Complementary angles

Two angles across from each other on

intersecting lines. They are always congruent!

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Linear pairs

Any two angles whose sum is 180°

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Adjacent Angles

Asemmisa {{asɛmmisaAhyɛnsode}}
2.

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

Draggable itemarrow_right_altCorresponding Item

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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

Asemmisa {{asɛmmisaAhyɛnsode}}
3.

Draw an example of supplementary angles.

Asemmisa {{asɛmmisaAhyɛnsode}}
4.

Draw an example of complementary angles.

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5.

Select all the adjacent angles to ∠1

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6.

Select all the vertical angles to ∠6

Asemmisa {{asɛmmisaAhyɛnsode}}
7.

What is the value of x?

Asemmisa {{asɛmmisaAhyɛnsode}}
8.

What is the value of x?

Asemmisa {{asɛmmisaAhyɛnsode}}
9.

What is the value of x?

Asemmisa {{asɛmmisaAhyɛnsode}}
10.

What is the value of y?

Asemmisa {{asɛmmisaAhyɛnsode}}
11.

What is the value of x?

Asemmisa {{asɛmmisaAhyɛnsode}}
12.

What is the value of z?

Asemmisa {{asɛmmisaAhyɛnsode}}
13.

What is the value of z?

Asemmisa {{asɛmmisaAhyɛnsode}}
14.

What is the value of y?

Asemmisa {{asɛmmisaAhyɛnsode}}
15.

What is the value of x?

Asemmisa {{asɛmmisaAhyɛnsode}}
16.

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

Asemmisa {{asɛmmisaAhyɛnsode}}
17.

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

Asemmisa {{asɛmmisaAhyɛnsode}}
18.

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

Asemmisa {{asɛmmisaAhyɛnsode}}
19.

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

  1. Solve for x

  2. Substitute the value of x into 6x-25 to find out what the m ∠SQR equals

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

Asemmisa {{asɛmmisaAhyɛnsode}}
20.

If m∠PQT = (3x + 47)° and m∠SQR = (6x – 25)°, find the value of x.

Asemmisa {{asɛmmisaAhyɛnsode}}
21.

If m∠PQT = (3x + 47)° and m∠SQR = (6x – 25)°, find the measure of ∠SQR.

Asemmisa {{asɛmmisaAhyɛnsode}}
22.

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

Asemmisa {{asɛmmisaAhyɛnsode}}
23.

What is the measure of∠GEF?

Asemmisa {{asɛmmisaAhyɛnsode}}
24.

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