For two vertical angles with measures m1 = (2x+26)° and m/3 = (3x+32), what is the measure of each angle? (1 point)
To find the measure of each angle, we need to set the two measures equal to each other.
m1 = m/3
2x+26 = 3x+32
Subtracting 2x from both sides gives:
26 = x + 32
Subtracting 32 from both sides gives:
-6 = x
Substituting -6 for x in the equation for m1:
m1 = 2(-6) + 26 = -12 + 26 = 14°
Substituting -6 for x in the equation for m/3:
m/3 = 3(-6) + 32 = -18 + 32 = 14°
Therefore, each angle has a measure of 14°.