Degree measures of the angles of the triangle are referred to as 2: 6: 7. Find the degree measure

Degree measures of the angles of the triangle are referred to as 2: 6: 7. Find the degree measure of the smaller of the angles of this triangle.

Let’s find how many parts are the values of all three angles, if one of them is 2 parts, the other is 6, the third is 7:

1) 2 + 6 + 7 = 15 (h.)

Since the sum of the angles of a given figure is always 180 degrees, we find how many degrees each part corresponds to:

2) 180/15 = 12 (°).

The smallest angle is two parts, in degrees it is equal to:

3) 12 * 2 = 24 (°).

Answer: The degree measure of the smallest angle is 24 °.