For two vertical angles with measures m <1 = (4x + 26)° and m <3 = (3x + 32)° what is the measure of each angle? (1 point)
Vertical angles are always congruent, which means that they have the same measure. Therefore, we can set the equations for the two angles equal to each other and solve for x:
4x + 26 = 3x + 32
Subtract 3x from both sides:
x + 26 = 32
Subtract 26 from both sides:
x = 6
Now we can substitute x = 6 back into one of the angle measures to find the measure of each angle:
m <1 = (4x + 26)°
m <1 = (4*6 + 26)°
m <1 = (24 + 26)°
m <1 = 50°
Therefore, each angle measures 50°.