Question

Find the value of the variables in the figure to the right.

Answer 1

x = 9

y = 56

Explanation:

(3x + 7)° + (6x + 2)° = 90° (both angles are complementary)

Find the value of x using this equation

`3x + 7 + 6x + 2 = 90`

Collect like terms

`3x + 6x + 7 + 2 = 90`

`9x + 9 = 90`

Subtract 9 from each side

`9x + 9 - 9 = 90 - 9`

`9x = 81`

Divide both sides by 9

`(9x)/(9) = (81)/(9)`

`x = 9`

y° = (6x + 2)° (both angles are vertical angles. Vertical angles are equal)

Plug in the value of x to find y

y = 6(9) + 2

y = 54 + 2

y = 56