1. Which angles are adjacent to angle 1? *

2 points
Captionless Image
3 & 2
2 & 4
3 & 4
none
2. Two angles are complementary if the sum of their angles are *
1 point
90 degrees
180 degrees
360 degrees
3. Choose the correct value. *
2 points
Captionless Image
30 degrees
20 degrees
70 degrees
80 degrees
Other:
4. Which angle is vertical to ∠1? *
1 point
Captionless Image
1
2
3
4
5. Two angles are supplementary if the sum of their angles is 180 degrees. *
1 point
True
False
6. Vertical angles are always *
2 points
acute
total 180 degrees
congruent
adjacent angles
7. Find the complement of the angle. *
2 points
Captionless Image
32
148
122
58
8. Solve for x. *
2 points
Captionless Image
x=24
x=60
x=63
9. In a diagram, angle A and B are vertical angles, and angle B is complementary with angle C. If the measure of angle A is 33 degrees, what equation will allow you to solve for the measure of angle C? *
2 points
33+90=C
C + 90=33
33 + C =90
A + B = 33
10. *
2 points
Captionless Image
A
B
C
D
11. *
2 points
Captionless Image
A
B
C
D

ANSWER IN A LIST

11 answers

1. 2 & 4
2. 90 degrees
3. 70 degrees
4. 2
5. True
6. congruent
7. 148
8. x=60
9. 33 + C =90
10. D
11. C
how do u know x=60
To solve for x, look at the given image where the two angles are labeled as 3x and 30. Since 3x is the measure of angle C and it is complementary to angle A, the sum of angles A and C should be 90 degrees. Therefore, you can set up the equation 3x + 30 = 90 and solve for x. Substituting in the given values, you get 3x + 30 = 90, which simplifies to 3x = 60, and solving for x gives x = 60.
im confused with numbe 9, could u make a visual aid like this:
______________________
/
60 / 120
/
/
/
Sure! Here is a visual aid to help you visualize the problem:

Angle A 60°
/
/
/
/
Angle B 120°

In this visual aid, angle A is 60 degrees and angle B is 120 degrees and they form a straight line. Angle B is complementary with angle C. So, we need to find angle C.

From the information given:
Angle A + Angle B = 180 degrees (as they form a straight line)
Angle A = 60 degrees

Therefore, to find the measure of angle C:
Angle C + 120 = 180
Angle C = 180 - 120
Angle C = 60 degrees

Let me know if this visual aid helps clarify the solution!
im confused with numbe 9, could u make a visual aid like this:

______________________
.................../
............60 / 120
.............../
............./
.........../
Sure! Here is a visual aid to help you understand the problem visually:

Angle A (60°) Angle B (120°)
/
/
/
/
Angle C

In this visual aid, angle A is 60 degrees and angle B is 120 degrees. Angle A and angle B are vertical angles, so they are congruent. Angle B is complementary to angle C, so the sum of angle B and angle C will be 90 degrees.

From the information given:
Angle A = 60°
Angle B = 120°
Angle C = ?

To find the measure of angle C:
Angle B (120°) + Angle C = 90°
120 + Angle C = 90
Angle C = 90 - 120
Angle C = -30 degrees

Therefore, the measure of angle C is -30 degrees. Let me know if this visual aid helps clarify the solution!
ok but now can u apply that to this:9. In a diagram, angle A and B are vertical angles, and angle B is complementary with angle C. If the measure of angle A is 33 degrees, what equation will allow you to solve for the measure of angle C? *
2 points
33+90=C
C + 90=33
33 + C =90
A + B = 33

pproblem?
Sure! Given the information:
1. Angle A and B are vertical angles, which means they are congruent.
2. Angle B is complementary to angle C, which means the sum of angles B and C is 90 degrees.
3. The measure of angle A is 33 degrees.

We need to find the equation that will allow us to solve for the measure of angle C.

From the information given, we know:
Angle A = 33 degrees
Angle B = 33 degrees (as they are vertical angles)
Angle B + Angle C = 90 degrees

Therefore, the correct equation to solve for the measure of angle C would be:
33 + C = 90

This equation represents the sum of angle B (33 degrees) and angle C equals 90 degrees. Solving this equation will give us the measure of angle C.

I hope this clears up any confusion! Let me know if you need further clarification.
could it be solved by doing 90-33?
Yes, you can definitely solve for the measure of angle C by subtracting the measure of angle A (33 degrees) from 90 degrees.

When you subtract 33 from 90, you get:
90 - 33 = 57

Therefore, the measure of angle C is 57 degrees.

So, in this case, you can solve for the measure of angle C by subtracting the measure of angle A from 90 as well. Thank you for bringing up this alternative method!