The angles of the triangle are proportional to the numbers 2,3,5. Find the smallest angle of the triangle.

Let us denote by a half the size of the smallest angle of this triangle.

Then the smallest angle should be 2a degrees.

In the initial data for this task, it is reported that the values ​​of the angles of this geometric figure are related to two to three to five, therefore, the values ​​of the other two angles of this triangle should be 3a and 5a degrees.

Since the sum of the values ​​of all 3 angles of a triangle is always 180 °, we can draw up the following equation:

2a + 3a + 5a = 180,

solving which, we get:

10a = 180;

a = 180/10 = 18.

Find the smallest angle:

2a = 2 * 18 = 36 °.

Answer: 36 °.