Question

I need help with this question, if you could also explain it that would be great.

Answer 1

Answer:

m ∠ 1 = 60°

Step-by-step explanation:

When 2 lines are parallel and are crossed by another line known as transversal line the angles in matching corner is known as corresponding angles . In this case when the two lines are parallel, corresponding angles are equal. This means angle 60 ° is the same as the angle on the second line which is opposite to the ∠1 .  

Angle on a straight line  = 180°

so the angle that runs on that second parallel line is 180° . The angle on the other left side = 180 - 60 = 120°.

The total angle on a straight line of that transversal line = 180° The angle 1 can be gotten when you subtract 120 ° from 180° = 60°.

Therefore,

m ∠ 1 = 60°

Or

You can just say 60° is an alternate exterior angle to m∠1 .