Question

If m angle ABF = (6x + 26)°, m angle EBF = (2x - 9)° , and m angle ABE = (11x - 31)° , find M angle ABF. ​

Answer 1

122

Explanation:

Angle ABE = angle ABF + EBF

11x - 31 = 6x + 26 + 2x - 9 add like terms

11x - 31 = 8x + 17 transfer like terms to the same side of the equation

11x - 8x = 17 + 31 add/subtract like terms

3x = 48 divide both sides by 3

x = 16 now replace x with 16 in the equation

16*6+26 = 122