Question

Refer to figure. Copy and complete the table :

$\angle ABD$	$\angle DBE$	$\angle EBC$
${70}^o$	${70}^o$	$?$
${50}^o$	$?$	${60}^o$
${35}^o$	${80}^o$	$?$

Answer 1

The angles on the line sum up to give ${180}^{\circ }$

$i)70+70+\angle EBC=180\angle EBC=180-140={40}^{\circ }ii)50+\angle DBE+60=180\angle DBE=180-110={70}^{\circ }iii)35+80+\angle EBC=180\angle EBC=180-115={65}^{\circ }$