the sum of the measure of two vertical angles is 300. solve for the measure of each angle
Let's denote the measure of one angle as x.
Since vertical angles are formed by two intersecting lines, the measure of the other vertical angle will be also x.
According to the problem, the sum of the measures of the two vertical angles is 300:
x + x = 300
Combining like terms:
2x = 300
To solve for x, divide both sides of the equation by 2:
x = 150
Therefore, the measure of each angle is 150 degrees.