Question

Given that AB || CD and CE || FG determine $\angle EFG.$

• A. ${115}^{\circ }$
• B. ${145}^{\circ }$
• C. ${150}^{\circ }$
• D. Inadequate data

Answer 1

The correct option is C ${150}^{\circ }$

$\angle EFG=\angle FEC$, (Alternative angles)
$\angle FEC+\angle ECD={180}^{\circ }\angle ECD={30}^{\circ }$
Hence, $\angle EFG={150}^{\circ }$