Question

What is the value of x?

A. x = 32
B. x = 37
C.x = 58
D. x = 148

Answer 1

LET US FIRST FIND m<FEG using sum of angles in a triangle

`58 + 90 + < feg = 180 \\ < feg = 180 - 90 - 58 \\ < feg = 32`

NOW WE CAN SEE THAT <FEG +<E =180° BECAUSE THEY ARE ON A STRAIGHT LINE.

`< feg + 4x = 180 \\ 32 + 4x = 180 \\ 4x = 180 - 32 \\ 4x = 148 \\ (4x)/(4) = (148)/(4) \\ x = 37`

THEREFORE x=37°