Lesson 6: Solving for Unknown Angles Using Equations (Word Problems ...

[Pages:6]Name:_________________________________ Accordino-Math 7

M6L6

Date:_________ Period:________

Lesson 6: Solving for Unknown Angles Using Equations (Word Problems) Bellringer

Given the following diagram answer the following:

1. CAH is a vertical angle with which of the following angles? a. EAF b. FAD c. EAC d. EAD

F

D

30?

E C

A

H

3x?

5x?

B

2. What is the measure of angle EAD ?

a. 90? b. 30? c. 180? d. 120?

3. Which equation represents the relationship between CAH and EAD ?

a. 3 = 90 b. 5 = 120 c. 8 = 120 d. 8 = 90

Name:_________________________________ Accordino-Math 7

M6L6

Date:_________ Period:________

Lesson 6: Solving for Unknown Angles Using Equations (Word Problems) Notes

Review:

Equal: Complementary: Supplementary: Vertical:

Example 1-3: Word Problems 1. The measurement of the complement of an angle is 39? more than the angle. Find the

measurement of the angle and its complement.

2. The measure of two supplementary angles are in the ratio 2:3. Find the two angles.

3. Four adjacent angles are on a line. The measurements of the four angles are four consecutive even numbers. Determine the measurements of all four angles.

Name:_________________________________ Accordino-Math 7

M6L6

Date:_________ Period:________

Example 5 & 6: Angles about a point

5. Two lines meet at a point that is also the endpoint of two rays. Set up and solve an equation to find the values of and .

32? a? b?

6. Three lines meet at a point that is also the endpoint of a ray. Set up and solve an equation to find the values of and .

39?

y?

x?

You Try! 7. Two angles are complementary. One angle is x and the other is 50 more than the first angle.

8. Four rays meet at a common endpoint. In a complete sentence, describe the relevant angle relationships in the diagram. Set up and solve an equation to find the value of . Find the measurement of .

12x? B

A E

60?

3x? C

D

Name:_________________________________ Accordino-Math 7

Homework

M6L6

Date:_________ Period:________

7.Two angles are vertical in relation. One angle is 2y and the other angle is y + 130. Find each angle measure. Is your answer reasonable? Explain how you know.

8. The measure of two supplementary angles are in the ratio 4:2. Find the two angles.

Name:_________________________________ Accordino-Math 7

M6L6

Date:_________ Period:________

9. The measure of the supplement of an angle is 6? more than twice the measure of the angle. Find the two angles.

10. Three adjacent angles are at a point. The first angle is represented by x? , the second angle is 20? more than the first, and the third angle is 20? more than the second angle.

Find the measurements of all three angles.

11. Two lines meet at a point. Find the measurement of one of the vertical angles. Is your

answer reasonable? Explain how you know.

(x+104)?

3x?

12. Three lines meet at a point. Set up and solve an equation to find the value of . Is your answer reasonable? Explain how you know.

Name:_________________________________ Accordino-Math 7

M6L6

Date:_________ Period:________

Lesson 6: Solving for Unknown Angles Using Equations

(Word Problems) Exit Ticket

(3 points)

Two adjacent angles form a complementary relationship. One angle is twelve more than twice the other angle. Draw a picture to represent the situation. Then solve for each unknown angle measure.

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