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

Question

<4
none
<3
<2

Answer 1

Vertical angles are the angles that are opposite each other when two lines intersect. They are always congruent (they have equal measures).

Given the angles:

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

The angles that share a vertex with <1 are <2, <3, and <4. Among these, <3 has the same measure as <1 (both are 98°). Therefore, <3 is the vertical angle to <1.

So, the correct answer is: <3.