Question

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 \( 148^\circ \).