Question

IM SORRY BUT IM $TUPID AND DONT KNOW ANY OF THESE, PLS PLS PLS HELPPPP (100 POINTS!!!!)

1. Angle 1 and Angle 4 are vertical angles. If the measure of angle 1 equals 3x + 14 and the
measure of angle 4 equals 5x − 52, what is the measure of Angle 1?

2. ∠A and ∠B are complementary angles. If the measure of ∠A equals 3x + 40 and the measure of
∠B equals 2x + 35, what is the value of x?

3.Suppose that m∠ABC = 3 + 8 and m∠XYZ = 2/3 + 62. If ∠ABC and ∠XYZ are supplementary
angles, what is the measure of ∠XYZ?

4. ∠X and ∠Y form a linear pair. If the measure of ∠X equals 5x + 45 and the measure of ∠Y equals
10x − 15, what is the measure of ∠X?

5. Angle 2 and Angle 3 are vertical angles. If the measure of angle 2 equals 13x + 27 and the
measure of angle 3 equals 9x + 59, find the value of x.

6. ∠A and ∠B are complementary angles. If the measure of ∠A equals 3x − 22 and the measure of
∠B equals 5x + 40, what is the measure of ∠B?

7. Suppose that m∠ABC = 163° and m∠XYZ = 5x + 2. If ∠ABC and ∠XYZ are supplementary
angles, determine the value of x.

8. ∠X and ∠Y form a linear pair. If the measure of ∠X equals 24x − 36° and the measure of ∠Y
equals 12x, how much is x?

THANK YOU SO MUCH IF YOU EVEN AT LEAST ATTEMPT TO HELP!!!!!

Answer 1

Explanation:

1. Angle 1 and Angle 4 are vertical angles. If the measure of angle 1 equals 3x + 14 and the measure of angle 4 equals 5x − 52, what is the measure of Angle 1?

Vertical angles are equal to each other.

<1 = < 4

3x+14 = 5x-52

2x = 76

x = 38 Both angles are 38°.

2. ∠A and ∠B are complementary angles. If the measure of ∠A equals 3x + 40 and the measure of ∠B equals 2x + 35, what is the value of x?

Two angles are called complementary if their measures add to 90 degrees.

<A + <B = 90

3x+40 = 2x + 35

x = -5°

3.Suppose that m∠ABC = 3 + 8 and m∠XYZ = 2/3 + 62. If ∠ABC and ∠XYZ are supplementary angles, what is the measure of ∠XYZ?

Supplementary angles are two angles with a sum of 180°

3 + 8 + 2/3 + 62 = 180

I don't see a variable in either angle. Please check. We should be able to add two expressions and set them to 180 and solve for a variable. As written, we can't do that - there is no variable.

4. ∠X and ∠Y form a linear pair. If the measure of ∠X equals 5x + 45 and the measure of ∠Y equals 10x − 15, what is the measure of ∠X?

A linear pair adds to 180°.

5x + 45 + 10x - 15 = 180°

15x + 30 = 180

15x = 150

x = 10°

5. Angle 2 and Angle 3 are vertical angles. If the measure of angle 2 equals 13x + 27 and the measure of angle 3 equals 9x + 59, find the value of x.

The angles are equal:

13x+27 = 9x+59

4x = 32

x = 8

6. ∠A and ∠B are complementary angles. If the measure of ∠A equals 3x − 22 and the measure of ∠B equals 5x + 40, what is the measure of ∠B?

As explained in problem 2:

∠A + ∠B = 90

3x - 22 + 5x + 40 = 90

8x = 72

x = 9

Gotta go. Hopefully you can do the others in the same fashion.