The circle is divided into 3 sectors. The angle of one sector is 30 percent of the full angle and the angles of the other

The circle is divided into 3 sectors. The angle of one sector is 30 percent of the full angle and the angles of the other two sectors differ by 40 degrees from each other. The angles of all three sectors were calculated.

We find out what the first of the three angles will be equal to, when it is known from the condition that it is equal to 30% of the full angle:

360 * 30: 100 = 360 * 0.3 = 108.

Find out how much remains for the other two corners in this case:

360 – 108 = 252.

Let us express one of the remaining two angles, for which we use the variable a.

Then, proceeding from the condition, we can express the other angle in the form (a + 40).

Knowing that in total they are equal to 252 °, we write down the equation and find these angles:

a + a + 40 = 252;

2a = 212;

a = 106;

106 + 40 = 146.

Answer: 106 °, 108 ° and 146 °.