The ratio of the measures of the angles of a triangle is 1:2:3 find the measures of each angle

Given:

The ratio of the measures of the angles of a triangle is 1:2:3.

To find:

The measures of each angle.

Solution:

Let the measure of angles be x, 2x and 3x respectively.

We know that, sum of all the interior angles of a triangle is 180 degrees by the angle sum property.

Using angle sum property, we get

Divide both sides by 6.

Now,

First angle:

Second angle:

Third angle:

Therefore, the measure of all the angles are 30°, 60° and 90° respectively.

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step-by-step explanation:

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