Question

3) If the measure of angle 2=70° what is the measure of angle 6

Answer 1

Answer: The measure of angle 6 is 120°.

Step-by-step explanation: Since we have given that

60° and m∠6 are interior angles on the same side of the transversal.

As we know that if the two lines are parallel and there is a transvesal, then sum of interior angles on the same side is supplementary.

So, it becomes,

\begin{gathered}60^\circ+m\angle 6=180^\circ\\\\m\angle 6=180^\circ-60^\circ\\\\m\angle 6=120^\circ\end{gathered}

60

∘

+m∠6=180

∘

m∠6=180

∘

−60

∘

m∠6=120

∘

Hence, the measure of angle 6 is 120°.