Question

Find the value of x in each case. PLEASE HELP

Answer 1

x = 23

Explanation:

∠ ABE = ∠ BEF = 4x ( alternate angles )

Since DBF is a straight line then the 3 angles sum to 180°, that is

x + 4x + 65 = 180

5x + 65 = 180 ( subtract 65 from both sides )

5x = 115 ( divide both sides by 5 )

x = 23