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Laabri

8.1 Using Angle Relationships to find Angle Measures (Due 3/8/22)

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26 Nsɛmmisa
Hyɛ no nsow a efi ɔkyerɛwfo no hɔ:

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.

Asemmisa {{asɛmmisaAhyɛnsode}}
1.

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

Draggable itemarrow_right_altCorresponding Item

Two angles that are

adjacent and supplementary.

They form astraight line!

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Vertical angles

Any two angles whose sum is 90°

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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 180°

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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

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2.

Draw an example of vertical angles.

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3.

Draw an example of adjacent angles.

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4.

Draw an example of supplementary angles.

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5.

Draw an example of complementary angles.

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6.

Select all the adjacent angles to ∠1

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7.

Select all the vertical angles to ∠6

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8.

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

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9.

What is the value of x?

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10.

What is the value of x?

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11.

What is the value of x?

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12.

What is the value of y?

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13.

What is the value of x?

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14.

What is the value of z?

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15.

What is the value of z?

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16.

What is the value of y?

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17.

What is the value of x?

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18.

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

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19.

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

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20.

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

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21.

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

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

  2. Subtract 3x from both sides of the equation

  3. 6(24)-25=119; therefore the m∠SQR=119°

  4. Add 25 to both sides of the equation

  5. x=24

  6. Divide both sides of the equation by 3

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

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22.

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

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23.

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

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24.

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

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25.

What is the measure of∠GEF?

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26.

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