For two vertical angles with measures m21 = (2x + 26) ° and m 23 = (3x + 32)°, what is the
measure of each angle? (1 point)
Since vertical angles are congruent, we can set their measures equal to each other and solve for x.
2x + 26 = 3x + 32
Subtract 2x from both sides:
26 = x + 32
Subtract 32 from both sides:
-6 = x
Now we can substitute x back into the expressions for the angles:
m21 = 2x + 26 = 2(-6) + 26 = -12 + 26 = 14°
m23 = 3x + 32 = 3(-6) + 32 = -18 + 32 = 14°
So each angle has a measure of 14°.