Question

For what value of $\angle$CDE the lines AB and CD are parallel?

• A. 55⁰
• B. 65⁰
• C. 75⁰
• D. 50⁰
• E. 45⁰

Answer 1

The correct option is D

50⁰

If the lines AB and CD are parallel then the two angles $\angle$BAE and $\angle$CDE are equal (alternate interior angles). $\angle$BAE + $\angle$AEB + $\angle$EBA = 180${}^0$ $\Rightarrow$ $\angle$CDE = 50${}^0$