Respuesta :

SDCInfinity

Answer:

1.) x = 30 ; 150°   2.) x = 30 ; 50°  3.) x = 40 ; 122°

Step-by-step explanation:

Each one of the problems revolves around vertical angles. Verticle angles are equal to each other.

1.)

5x = 3x + 60

2x = 60 (Subtracted 3x on both sides.)

x = 30 (Divided 2 on both sides.)

Know that we know the variable's value, time to find the angles.

5(30) = 3(30) + 60

150 = 150

This means the angles are 150°.

2.)

3x - 40 = x + 20

2x - 40 = 20

2x = 60

x = 30

3(30) - 40 = (30) + 20

90 - 40 = 50

50 = 50

This means the angles are 50°.

3.)

5x - 78 = 3x + 2

2x - 78 = 2

2x = 80

x = 40

5(40) - 78 = 3(40) + 2

122 = 122

This means the angles are 122°.

KayLola42
5x=3x+60
Subtract 3x from both sides leaving you with
8x=60
Divide 8 on both sides to get x=7.5

3x-40=x+20
Add -40 to both sides and subtract x on each side leaving you with
2x=60
Then divide 2 from both sides to get x=30

3x+2=5x-78
Add 78 to both sides and subtract 3x from both sides to get 80=2x then divide two from both sides to get x=40

Hope this helps excuse my scribbles:)