Question

the sum of the meausre of two vertical angles is 300 solvel for the meausre of each angles

Answer 1

Let's call the measure of the first vertical angle x and the measure of the second vertical angle y.

Since vertical angles are congruent, we know that x = y.

We also know that the sum of the measures of the two vertical angles is 300, so:

x + y = 300
x + x = 300 (replace y with x)
2x = 300
x = 150

Therefore, the measure of each vertical angle is 150 degrees.