The circle is divided into 2 sectors. The angle of one sector is 3 times greater than the angle of the second.

| January 8, 2021 | education

The circle is divided into 2 sectors. The angle of one sector is 3 times greater than the angle of the second. Calculate the angle of the first sector.

Divided into 2 sectors.
The first corner is 3 times the second sector.
Let’s define the angle of the first sector. We write down the resulting solution.
The whole circle is 360 degrees. Since the value of one angle is 3 times greater than the value of the second angle, we denote the value of the first angle by x. This means that the value of the second angle is 3x. We write down the resulting expression.
X + 3x = 360.
4x = 360.
Find the unknown value of x.
X = 360 ÷ 4 = 90.
This means that the angle of the first sector is 90 degrees.
90 × 3 = 270.
The angle of the second sector is 270 degrees.
Answer: the first sector is 90 degrees. The second sector is 270 degrees.



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