Question

Find the value of x in each case:

Answer 1

x= 11°

Explanation:

∠BEF= 180° -4x (adj. ∠s on a str. line)

∠BFE

= 180° -147° (adj. ∠s on a str. line)

= 33°

∠BEF +∠BFE +∠EBF= 180° (∠ sum of triangle)

180° -4x +33° +x= 180°

-4x +x= 180° -180° -33°

-3x= -33°

3x= 33°

Divide both sides by 3:

x= 33° ÷3

x= 11°