# The sum of the vertical angles is equal to one third of the right angle. Find these corners.

July 28, 2021 | education

| Let’s denote by x the value of the first vertical angle.

Since the vertical angles are equal to each other, the value of the second vertical angle will also be equal to x.

According to the condition of the problem, the sum of these vertical angles is equal to one third of the right angle.

Since the right angle is 90 ° and one third of the right angle is (1/3) * 90 = 90/3 = 30 °, we can write the following equation:

x + x = 30.

We solve the resulting equation:

2 * x = 30;

x = 30/2;

x = 15 °.

Answer: These vertical angles are 15 °.

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