Question

∠ RQS and ∠ TQP are vertical angles where m∠ RQS = 3(x + 7) and m∠ TQP = 4x + 15.
1. Solve for x.
2. Find m∠ RQS and m∠ TQP
3. Show how you can check your answer.

Answer 1

Do I start this by combining like terms?

Answer 2

∠ RQS and ∠ TQP are vertical angles

so this means that the two angles are congruent

Answer 3

so...

m∠ RQS = m∠ TQP

3(x + 7) = 4x + 15

x = ???

Answer 4

3x + 21 = 4x + 15

Answer 5

keep going

Answer 6

3x + 21 = 4x + 15
- 21 -21 = 3x = 4x - 6

Answer 7

3x/3 = 4x/3 - 6
x = -6

Answer 8

very good

Answer 9

actually sorry

Answer 10

it should be

-x = -6

so

x = 6

Answer 11

you were close though

Answer 12

oh okay well then I plug that into the equations right?

Answer 13

yes into each angle equation

Answer 14

Thanks :)

Answer 15

sure thing