For two vertical angles with measures m∠1=(2x+26)° and m∠3=(3x+32)°, what is the measure of each angle?(1 point) °
Vertical angles are formed when two lines intersect. They have equal measures.
Therefore, m∠1 = m∠3.
(2x+26)° = (3x+32)°
To find the value of x, we need to solve this equation:
2x+26 = 3x+32
Subtracting 2x from both sides:
26 = x + 32
Subtracting 32 from both sides:
-6 = x
Now, we can substitute this value of x back into one of the equations to find the measure of the angles.
m∠1 = (2x+26)°
m∠1 = (2*(-6)+26)°
m∠1 = (-12+26)°
m∠1 = 14°
Therefore, the measure of each angle is 14°.