Question

Question 16 not 15.

Answer 1

x=9

Explanation:

angle 4 = angle 1 + angle 2

11x + 16 = 9x + 2 + 32

combine like terms

11x - 9x = 2 + 32 - 16

2x = 34 - 16

2x = 18

x = 18/2

x = 9

Answer 2

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`11x + 16 = (9x + 2) + 32`

`11x + 16 = 9x + 34`

Subtract sides 16

`11x + 16 - 16 = 9x + 34- 16`

Simplification

`11x = 9x + 18`

Subtract sides 9x

`- 9x + 11x = - 9x + 9x + 18`

Simplification

`2x = 18`

Divide sides by 2

`(2x)/(2) = (18)/(2) \\`

`x = 9`

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