Question

Solve for x and the measures for x=4

Answer 1

Below in bold.

Explanation:

The angles on the line AC add up to 180 degrees, so:

11x - 8 + 90 + 6x + 2 + 4x + 12 = 180

21x + 96 = 180

21x = 180 - 96 = 84

x = 84/21

x = 4.

<ABD = 11(4) - 8 = 36 degrees.

<EBF = 6(4) + 2 = 26 degrees.

<CBF = 4(4) + 12 = 28 degrees.