Question

Angle E and and F are supplementary. If angle E =

(9x - 38)° and angle F = (2x + 42)°, find m angle F

Answer 1

∠ F = 74°

Explanation:

angles which are supplementary sum to 180°

sum the 2 angles, equate to 180 and solve for x

9x - 38 + 2x + 42 = 180 ( collect like terms on left side )

11x + 4 = 180 ( subtract 4 from both sides )

11x + 4 - 4 = 180 - 4 ( simplify both sides )

11x = 176 ( divide both sides by 11 )

`(11)/(11)` x =
`(176)/(11)` , that is

x = 16

Then

∠ F = 2x + 42 = 2(16) + 42 = 32 + 42 = 74°