Question

50 Points
answer the question as soon as possible

Answer 1

Angle 2 = 70°

Explanation:

Vertically opposite angles are formed when two lines intersect. They are the angles that are directly opposite each other, formed by the same lines intersecting. Vertically opposite angles are always congruent, meaning they have the same measure.

In this case:

Angle 8 and Angle 3 are vertically opposite angle.

So,

Angle 8 = Angle 3 = 110°

And

Co-interior angles are formed when a transversal intersects two parallel lines. They are the angles that are on the same side of the transversal, inside the two parallel lines. Co-interior angles are always supplementary, meaning they add up to 180 degrees.

In this case:

Angle 3 and Angle 2 are co interior angle.

So,

Angle 3 + Angle 2 = 180°

110° + Angle 2 = 180°

Angle 2 = 180° - 110°

Angle 2 = 70°

Therefore, the measure of angle 2 is 70°.