Four angles shared a vertex: m<1 = 32, m<2 = 148, m<3 = 32, and m< 2 = 148. Which angle is vertical angle with <2?

Answer 1

Vertical angles are pairs of non-adjacent angles formed when two lines intersect. They are equal in measure.

In your case, you have the following angles:

• $m<1={32}^{\circ }$
• $m<2={148}^{\circ }$
• $m<3={32}^{\circ }$
• $m<4={148}^{\circ }$ (It seems you may have repeated angle <2 as <4, assuming <4 is meant to be <2)

Since $m<2={148}^{\circ }$, its vertical angle is $m<4$ (the angle opposite to it) which is also ${148}^{\circ }$.

Therefore, the vertical angle with $<2$ is $<4$ which is ${148}^{\circ }$.