Question

How do you prove vertical angles are congruent?

Answer 1

(<2 and <4 are vert angles) reason:given

(lines m and n intersect at p) reason: def of vertical angles

(<2 and <3 are a linear pair) reason: def of a linear pair

(<2 and <3 are a linear pair) reason: def of a linear pair

(m<2+m<3=180) reason:angle addition postulate

(m<3+m<4=180) reason:angle addition postulate

(m<2+m<3=m<3+m<4 reason:substitution property

(m<2 = m<4) reason:subtraction property

<2 ~<4 reason:definition of ~ angles

Explanation:

edgenuity 2020

Answer 2

a diagram lime this would prove, as shown above the opposite angles are equal.