Four angles share a vertex. m<1 = 98, m<2 - 82, m<3 = 98, and m<4 = 82. Which angle is a vertical pair with <1?

<2

<3

<4

none

2 answers

To determine which angle is a vertical pair with angle <1, we first need to recall the definition of vertical angles. Vertical angles are formed when two lines intersect, and they are opposite each other. Vertical angles are equal in measure.

Given:

  • m<1 = 98°
  • m<2 = 82°
  • m<3 = 98°
  • m<4 = 82°

Since m<1 and m<3 both equal 98°, they are vertical angles. Therefore, the angle that is a vertical pair with <1 is:

<3.

Aww it looks like a heart <3