Question

The second angle of a triangle is 3 times as large as the first angle. The third

angle is 30 degrees more than the first angle. Find the measure fo the angles.

Answer 1

The measures of the angles in the triangle are 30 degrees, 90 degrees, and 60 degrees.

Step-by-step explanation:

Let's represent the first angle as x.

The second angle is 3 times as large as the first angle, so it can be represented as 3x.

The third angle is 30 degrees more than the first angle, so it can be represented as x + 30.

Knowing that the sum of the angles in a triangle is 180 degrees, we can set up the following equation:

1. x + 3x + (x + 30) = 180

Simplifying the equation gives us:

1. 5x + 30 = 180
2. 5x = 150
3. x = 30

Now we can find the measures of each angle:

1. The first angle is x = 30 degrees
2. The second angle is 3x = 3 * 30 = 90 degrees
3. The third angle is x + 30 = 30 + 30 = 60 degrees

Therefore, the measures of the angles are 30 degrees, 90 degrees, and 60 degrees.

Learn more about Triangle angles