Question

Identify and label the degrees of the missing angles if the blue lines are parallel

Answer 1

∠120 and ∠C are corresponding angles, therefore:

`\angle C=120`

∠30 and ∠A are corresponding angles, so:

`\angle A=30`

∠30 and ∠D are vertical angles, so:

`\angle D=30`

∠B and ∠120 are supplementary angles, so:

`\begin{gathered} \angle B=180-120 \\ \angle B=60 \end{gathered}`

∠B and ∠F are corresponding angles, so:

`\angle F=60`
`\begin{gathered} \angle E=\angle B+\angle A \\ \angle E=60+30 \\ \angle E=90 \end{gathered}`