Question

Write and solve the equation to find the value of x and the missing angle measures.​

Answer 1

x = 8

The missing measures are 85 degrees

Explanation:

Since 9x + 13 and 11x - 3 are on opposite sides, they are equal, so

9x + 13 = 11x - 3

Subtract 13 from both sides:

9x = 11x - 16

Subtract 11x from both sides:

-2x = -16

Divide both sides by -2:

x = 8

The angle measures are

9(8) + 13 = 72 + 13 = 85

11(8) - 3 = 88 - 3 = 85

Answer 2

9x+13 = 11x-3

x = 8

The angles are 85

Explanation:

The angles are vertical angles so they are equal

9x+13 = 11x-3

Subtract 9x from each side

9x+13 -9x = 11x-9x-3

13 = 2x-3

Add 3 to each side

13+3 = 2x-3+3

16 =2x

Divide by 2

16/2 = 2x/2

8 =x

11x-3 = 11(8) -3 = 88-3 = 85