8.1 Using Angle Relationships to find Angle Measures (Due 3/8/22)
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Last updated 12 months ago
26 questions
Note from the author:
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.
Use this video to help you answer the question on the assignment.
Angles formed by Intersecting Lines
Required
10 points
10
Question 1
1.
Match the definition of the angle relationship with the angle relationships it describes...
Draggable item
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Corresponding Item
Two angles across from each other on
intersecting lines. They share a vertex and they are always congruent!
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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
Two angles that are
adjacent and supplementary.
They form astraight line!
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Linear pairs
Any two angles whose sum is 180°
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Adjacent Angles
Required
10 points
10
Question 2
2.
Draw an example of vertical angles.
Required
10 points
10
Question 3
3.
Draw an example of adjacent angles.
Required
10 points
10
Question 4
4.
Draw an example of supplementary angles.
Required
10 points
10
Question 5
5.
Draw an example of complementary angles.
Angles formed by Intersecting Lines
10 points
10
Question 6
6.
Select all the adjacent angles to ∠1
10 points
10
Question 7
7.
Select all the vertical angles to ∠6
Required
10 points
10
Question 8
8.
Match the image with the angle relationship it describes...
Draggable item
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Corresponding 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
Required
5 points
5
Question 9
9.
What is the value of x?
Required
5 points
5
Question 10
10.
What is the value of x?
Required
5 points
5
Question 11
11.
What is the value of x?
Angles formed by Intersecting Lines
Angles formed by Intersecting Lines
Required
5 points
5
Question 12
12.
What is the value of y?
Required
5 points
5
Question 13
13.
What is the value of x?
Required
5 points
5
Question 14
14.
What is the value of z?
Required
5 points
5
Question 15
15.
What is the value of z?
Required
5 points
5
Question 16
16.
What is the value of y?
Required
5 points
5
Question 17
17.
What is the value of x?
Required
5 points
5
Question 18
18.
∠1 and ∠2 are vertical angles. If the measure of ∠2 is 105°, find the measure of ∠1.
Required
5 points
5
Question 19
19.
∠A and ∠B are complementary angles. If the measure of ∠A is 42°, find the measure of ∠B.
Required
5 points
5
Question 20
20.
∠P and ∠Q are supplementary angles. If the measure of ∠Q is 64°, find the measure of ∠P.
Required
10 points
10
Question 21
21.
What is the correct order of steps to solve this problem?
Make 3x+47 equal to 6x-25; because vertical angles are equal
Substitute 24 for x into 6x-25 to find out what the m∠SQR equals
Divide both sides of the equation by 3
Add 25 to both sides of the equation
6(24)-25=119; therefore the m∠SQR=119°
x=24
Subtract 3x from both sides of the equation
Required
10 points
10
Question 22
22.
If m∠PQT =109° and m∠SQR = (4x – 15)°, find the value of x.
Required
10 points
10
Question 23
23.
If m∠PQT =109° what is the measure of m∠TQR?.
Required
10 points
10
Question 24
24.
If m∠DEG = (5x – 4)°, m∠GEF = (7x – 8)°, m∠DEH = (9y + 5)°, find the value of x.
Required
10 points
10
Question 25
25.
What is the measure of∠GEF?
Required
10 points
10
Question 26
26.
If m∠DEG = (5x – 4)°, m∠GEF = (7x – 8)°, m∠DEH = (9y + 5)°, find the value of y.
