To find one of the angles of the heptagon, we can first find the total sum of all the angles in a heptagon. A heptagon has 7 sides, so it also has 7 angles.
The sum of all the angles in a heptagon can be found using the formula:
Sum of all angles = (n - 2) * 180 degrees
Where n is the number of sides of the polygon. In this case, n = 7:
Sum of all angles = (7 - 2) * 180 = 5 * 180 = 900 degrees
Given that the sum of 4 angles of the heptagon is 540 degrees, the sum of the remaining 3 equal angles can be found:
Remaining sum of 3 angles = Total sum - Sum of known 4 angles
Remaining sum of 3 angles = 900 - 540 = 360 degrees
Since the remaining 3 angles are equal to each other, we can divide the remaining sum by 3 to find the measure of one of the angles:
One of the angles = Remaining sum / 3
One of the angles = 360 / 3 = 120 degrees
Therefore, one of the angles of the heptagon is 120 degrees.
If the sum of 4 angles of a heptagon is 540 and the other three angles are equal to each other find one of the angles
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