The circle was divided into three sectors, the angles of 2 sectors are equal to 40 degrees and 90 degrees 2 150 degrees

The circle was divided into three sectors, the angles of 2 sectors are equal to 40 degrees and 90 degrees 2 150 degrees and 70 degrees 50 degrees and 210 degrees. Calculate the angle of the third sector.

To successfully solve the problem, you need to remember that the full circle is 360 °. To find the degree measurement of one of the three sectors into which the whole circle is divided, you need to subtract 2 known sectors from 360 °:

1). 360 ° – (40 ° + 90 °) = 360 ° -130 ° = 230 ° – unknown sector;

2). 360 ° – (150 ° + 70 °) = 360 ° – 220 ° = 140 ° – third sector;

3). 360 ° – (50 ° + 210 °) = 360 ° – 260 ° = 100 ° – the desired sector.