Question

Find the measure of angle B
(9x+2) (5x-4)

Answer 1

119

Explanation:

`due \: to \: Corresponding \: angles \\ (5x - 4) + (9x + 2) = 180 \\ 14x = 182 \\ x = 13 \\ \\ 9.13 + 2 = b \\ b = 119`

Answer 2

In the given figure, we know that (angle B+angle C)=180°.

`(9x + 2) + (5x - 4) = 180 \\ 14x - 2 = 180 \\ 14x = 182 \\ \boxed{x = 13}`

Angle B = (9x+2) = (9×13+2) = (117+2) = 119°.