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 are opposite to each other and have equal measures.
So, if m∠1 = (2x+26)° and m∠3 = (3x+32)°, then:
2x+26 = 3x+32
Subtracting 2x from both sides, we get:
26 = x + 32
Subtracting 32 from both sides, we get:
-6 = x
Now, substituting this value of x back in either of the equations:
m∠1 = (2x+26)°
m∠1 = (2(-6)+26)°
m∠1 = (16)°
Therefore, the measure of each angle is 16°.