Question

- In a triangle, the measure of one angle is three times the measure of its vertically opposite angle. If

the measure of the vertically opposite angle is 30 degrees, what is the measure of the given angle?
120°

Answer 1

The measure of the given angle in the triangle is 90 degrees.

Step-by-step explanation:

In a triangle, the measure of one angle is three times the measure of its vertically opposite angle. Let's denote the given angle as A and the vertically opposite angle as B. We are given that the measure of angle B is 30 degrees. So, we can set up the following equation:

A = 3B

Substituting the value of B, we get:

A = 3(30)

A = 90

Therefore, the measure of the given angle is 90 degrees.

Learn more about Triangle angles