Question

Find the value of x in each case:

Answer 1

x=11 degrees :)

Answer 2

Explanation:

BFE + BFG = 180 => Sum of angles on a

straight line

BFE = 180 - BFG

= 180 - 147

= 33

BED + BEF = 180 => Sum of angles on a

straight line

BEF = 180 - BED

= 180 - 4x

EBF + BFE + BEF = 180 => Sum of angles in a

triangle

x + 33 + (180 - 4x) = 180

x + 33 + 180 - 4x = 180

x - 4x + 33 + 180 = 180

-3x + 213 = 180

-3x = 180 - 213

-3x = -33

x = -33/-3 = 11

x = 11