Question

In figure 48, $\overline{AB}$ is parallel to $\overline{CD}$. How many degrees are there in angle $EFG$?

• A. ${90}^o$
• B. ${10}^o$
• C. ${60}^o$
• D. ${70}^o$
• E. cannot be determined from information given

Answer 1

The correct option is D ${70}^o$

Given that $AB$ is parallel to $CD$
Let us draw a line which is parallel to $AB$ and passes through point $F$ and let it be $PQ$.
Since $AB\parallel CD\parallel PQ$ , we have angle $PFG=FGD=40$ and angle $EFP=FEB=30$
So, the angle $EFG=30+40=70$.