Quiz about Solving Problems Involving Angles and Equations

Question 1

Select the pair(s) of supplementary angles.

Accepted Answer

$$\angle5\ and\ \angle6$$

Accepted Answer

$$\angle1\ and\ \angle3$$

Answer

$$\angle1\ and\ \angle8$$

Answer

$$\angle5\ and\ \angle8$$

Question 2

Set up an equation that will help you solve for x.

Accepted Answer

60 + 75 + x = 180

Answer

60 + 75 + 180 = x

Answer

60 + 75 = x

Answer

60 + x = 75

Question 3

Set up the equation to solve for the missing angle

Accepted Answer

x + 50 = 120

Answer

50 + 120 + x = 180

Answer

120 + 50 = x

Answer

x + 120 = 50

Question 4

Set up an equation that will help you find the missing angle

Accepted Answer

80 + x = 110

Answer

80 + 110 + x = 180

Answer

110 + x = 80

Answer

80 + 110 = x

Question 5

Which of the following angles would NOT be congruent to the measure of $$\angle7$$ ?

Accepted Answer

$$\angle8$$

Answer

$$\angle2$$

Answer

$$\angle3$$

Answer

$$\angle6$$

Question 6

If the $$m\angle7\ =\ 115\degree,$$ find the measure of $$\angle2.$$

Accepted Answer

$$115\degree$$

Answer

$$65\degree$$

Answer

$$180\degree$$

Answer

Cannot be determined

Question 7

If the $$m\angle1\ =\ 57\degree,$$ find the measure of $$\angle6.$$

Accepted Answer

$$123\degree$$

Answer

$$57\degree$$

Answer

$$180\degree$$

Answer

Cannot be determined

Question 8

Set up the equation to solve for x if $$m\angle1\ =\ 11x\ -\ 9\degree$$ and the $$m\angle5\ =\ 7x\ +9\degree$$ .

Accepted Answer

11x - 9 = 7x + 9

Answer

11x - 9 + 7x + 9 = 180

Answer

18x = 18

Answer

18x + 18 = 180

Question 9

Set up the equation to find the value of x if $$m\angle1\ =\ 12x+19\degree$$ and the $$m\angle2\ =\ 22x-9\degree$$ .

Accepted Answer

12x + 19 + 22x - 9 = 180

Answer

34x +28 = 180

Answer

34x = 10

Answer

12x + 19 = 22x - 9

Question 10

Set up the equation to solve for x

Accepted Answer

8x + 2 +70 + 60 = 180

Answer

8x + 2 = 180

Answer

8x + 2 = 70 + 60

Answer

70 + 8x + 2 = 60

Question 11

Set up the equation to find the missing angle

Accepted Answer

40 + 90 + x = 180

Answer

40 + 90 = x

Answer

180 = 40 - 90

Answer

x + 40 + 40 = 180

Question 12

Set up an equation to find the missing angle

Accepted Answer

x + 50 = 115

Answer

50 + 115 = x

Answer

x + 50 + 115 = 180

Answer

50 + x = 180

Question 13

Set up an equation that will help you find the missing angle

Accepted Answer

28 + 58 = x

Answer

58 + x = 28

Answer

x + 28 = 58

Answer

28 + 58 + x = 180

Question 14

Set up an equation that will help you solve for x

Accepted Answer

21 + 34 = x

Answer

x + 21 = 34

Answer

21 + 34 + x = 180

Answer

34 + x = 21

Question 15

Which of these angles is NOT congruent to angle 5?

Accepted Answer

Angle 6

Answer

Angle 8

Answer

Angle 1

Answer

Angle 4

Question 16

If the $$m\angle5\ =\ 63\degree,$$ find the measure of $$\angle3.$$

Accepted Answer

$$117\degree$$

Answer

$$63\degree$$

Answer

$$180\degree$$

Answer

Cannot be determined

Solving Problems Involving Angles and Equations

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