The circle is divided into three sectors. the degree measure of the angle of the first sector is 35% of the full angle
The circle is divided into three sectors. the degree measure of the angle of the first sector is 35% of the full angle, and the measure of the second is sixteen to the twenty-first corners of the first sector. Calculate the degree measure of the angle of the third sector.
1. The full angle is 360 °, it is known that the degree measure of the angle of the first sector is 35% of the full angle. You need to find what is equal to 35% of 360.
360/100 * 35 = 126 °.
2. Since the degree measure of the angle of the second sector is 16/21 of the angle of the first sector, we find which are equal to 16/21 of 126.
126/21 * 16 = 96 °.
3. If we know the angles of the first and second sectors, then if we subtract their degree measures from the degree measure of the full angle, we get the degree measure of the angle of the third sector.
360 – 126 – 96 = 138 °.
Answer: 138 °.