For 2 vertical angles with measures m<1=(2x+26) and m<3=(3x+32) what is the measure of each angle
Vertical angles are formed by two intersecting lines and are always congruent. Therefore, we can set the measures of the two vertical angles equal to each other:
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 either equation to find the measure of the angles. Let's use the first equation:
m<1 = 2x + 26
m<1 = 2(-6) + 26
m<1 = -12 + 26
m<1 = 14
Therefore, the measure of each angle is 14 degrees.