Answer:
The measure of angle BEH is 55°
Explanation:
we know that
m<DEB=45° -----> by corresponding angles
m<GEH=80° -----> by corresponding angles
m<DEB+m<BEH+m<GEH=180° ------> line DG
substitute the values and solve for m<BEH
45°+m<BEH+80°=180°
m<BEH=180°-125°=55°