1/5 of a circle in a circle is labelled a degrees there is another angle measured a b degrees calculate b value
To calculate the value of angle b, we need to understand the relationship between the angle a and angle b in a circle.
In a circle, the sum of all the angles formed by the radii drawn from the center to any point on the circumference is always 360 degrees. This is known as the angle sum property of a circle.
In this case, we are given that 1/5 of the circle is labeled as angle a degrees. To find the value of angle b, we need to subtract the measure of angle a from the total angle sum.
First, we need to calculate the total angle sum. Since a circle has 360 degrees, we can set up the following equation:
1/5 * 360 degrees = a degrees
Simplifying this equation:
72 degrees = a degrees
Now, we can calculate the value of angle b. Since angle b is measured from the same center point as angle a and is formed by the radii drawn to different points on the circumference, we can use the angle sum property of a circle.
360 degrees - a degrees = b degrees
Substituting the value of a:
360 degrees - 72 degrees = b degrees
Simplifying this equation:
288 degrees = b degrees
Therefore, the value of angle b is 288 degrees.