Question

Lines m and n are parallel. Which list of angles are all congruent to angle 2?

A. 8, 4, 1
B. 1, 3, 5
C. 4, 5, 6
D. 4, 6, 8

Answer 1

C. 4,5, 6

hopes this helps

Answer 2

The list of angles that are all congruent to angle 2 is 4, 6, 8. (Option D).

What is congruent angle?

Congruent angles are angles that have the same measure in degrees or radians. So, if two angles are congruent, it means that they are equal in size.

From the diagram of parallel line m and n, the list of angles that are all congruent to angle 2 include;

m∠ 2 = m∠ 6 (corresponding angle)

m∠ 2 = m∠ 4 (vertically opposite angles)

m∠ 6 = m∠ 8 (vertically opposite angles)

So m∠ 2 = m∠ 4 = m∠ 6 = m∠ 8

Thus, the list of angles that are all congruent to angle 2 is 4, 6, 8.