Question

In the diagram ,M//N . Identify all of the angles that are congruent to 2

Answer 1

Angles 4, 6 and 8 because angles 2 and 4 are opposite each other. Angles 2 and 6 are equal and angle 8 is opposite to angle 6 therefor they are equal. Opposite angles are equal.

Answer 2

Angles 4, 6 and 8.

Explanation:

Let α and β be two angles, these will be congruent angles if they have exactly the same measure, that is, α = β.

A line that cuts two parallels forms congruent angles.

When two intercept lines form 4 angles. Those that are opposite to each other are vertical angles, these are always congruent.

In the diagram you can see that the angles congruent to 2 are: 4, 6 and 8.

Angle 4 is opposite to the angle 2, therefore it is congruent.

Angle 6 has the same measure of angle 2 because the lines m and n are parallel.

Angle 8 is opposite angle 6, so it is congruent to angle 2 which is equal to angle.

Hope this helps!