Question

All pairs of vertical angles are equal.
True
False

Answer 1

true

Answer 2

thanks

Answer 3

yupp

Answer 4

@e.cociuba True but how ?

Answer 5

cause its the properties of a verticle angles:)

Answer 6

Thxs for the medal:)

Answer 7

x and y are a linear pair, so they are supplementary
so x+y = 180

y and z are a linear pair, so they are supplementary
so y+z = 180 or z+y = 180


we now have

x+y = 180
z+y = 180


Both equal 180, so by substitution, we can say

x+y = z+y

and if we subtract y from both sides using the subtraction property of equality, we get

x = z

which proves that vertical angles x and z are congruent