Question

NEED HELP! (Question is on attached image and I WILL mark brainliest.)

Answer 1

Answer:

• let's consider m‹FBD

${ \tt{m \angle FBD = 180 \degree - m \angle ABF}}$

• Then let's consider m‹GFE

${ \tt{m \angle GFE = 180 \degree - m \angle HGF}}$

but AD||HE, therefore:

${ \tt{m \angle FBD + m \angle GFE = (180 \degree - m \angle ABF) + (180 \degree - m \angle HGF)}}$

but m‹ABF ≈ m‹HGF

${ \tt{2(m \angle FBD) +2( m \angle GFE) = 180 \degree + 180 \degree}} \\ \\ { \tt{2(m \angle FBD + m \angle GFE) = 360 \degree}} \\ \\ { \tt{m \angle FBD + m \angle GFE = \frac{360 \degree}{2} }} \\ \\ { \boxed{ \boxed{ \bf{m \angle FBD + m \angle GFE = 180 \degree}}}}$