Question

In the given figure, AB // CD, EH // BC, $\angle BAC={60}^{\circ }$ and $\angle DGH={40}^{\circ }$. Find the measures of $\angle AEF$ .

• A. ${36}^o$
• B. ${40}^o$
• C. ${46}^o$
• D. none of the above

Answer 1

The correct option is B ${40}^o$

Given, $\angle DGH={40}^{\circ }$.

Since $AB\parallel CD$,

$⟹$ $AE\parallel DG$.

By corresponding angles axiom,

$\angle AEF=\angle DGH={40}^{\circ }$.

Hence, option $B$ is correct.