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Because of vertical angles are congruent we set the two equations equal to each other
7x-99=2x+1
7x-100=2x
-100=-5x
Divide-5 on both sides to get variable by itself .
x=20
Because of Supplementary angles equal 180 degrees we sent the equation :
2x-10+2x+30=180
4x+20=180
4x=160
x=40
Because of complimentary angles we set the equation equalling 90°
3x+6+5x+4=90
8x+10=90
8x=80
x=10
trienvan00

Answer:

1) x=20

2) x=40

3) x=10

Step-by-step explanation:

The first problem shows vertical angles which means the angles on opposite sides are congruent to each other.

A) (7x-99)=(2x+1)

B) 5x-99=1

C) 5x=100

D) x=20

The second problem shows supplementary angles which means the angles add up to 180 degrees or what makes a straight line.

A) (2x-10)+(2x+30)=180

B) 4x+20=180

C) 4x=160

D) x=40

The third problem shows two acute angles placed in another angle which is notably a right angle or 90 degrees.

A) (3x+6)+(5x+4)=90

B) 8x+10=90

C) 8x=80

D) x=10

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