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The question cannot be answered without assuming that
(a) the figure is a polygon and
(b) it is regular.
There is absolutely nothing in the question to justify making these assumption but since there cannot be any answer other wise, let us assume that they are valid. Then
Interior angle = 171 implies that each exterior angle is 180-171 = 9%
The sum of all axterior angles is 360 degrees.
If the polygon has n sides, then 360/n = 9 so that n = 40.
Therefore the shape if it is a regular polygon, has 40 sides.
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How many sides does a regular polygon have if the measure of the angle is 171?
If each interior angle is 171 degrees then each exterior angle is 180-171 = 9 degrees. Sum of all exterior angles (irrespective of number of sides) is 360 degrees So number of sides = 360/9 = 40
If a polygon has 171 interior angle how many sides has it got?
Forty of them.
What is a 171 degree angle?
An Obtuse Angle is more than 90° but less than 180°
If the sum of two numbers is 171 and one number is 38 what is the other number?
171 - 38 = 133 so 133 + 38 sum to 171
What is the number of sides of a regular polygon if one angle measures 171 degrees?
The formula to find the sum of the angles of a polygon is: 180(n - 2) Since we know that one angle of this regular polygon is 171 degrees, we can find what kind of polygon it will be, using the formula: 180(n - 2) = 171n 180n - 360 = 171n 180n - 171n = 360 9n = 360 n = 360/9 n = 40 Thus the polygon is a 40-sided polygon. Check: 180(40 - 2) = 180(38) = 6840, which is the sum of the angles of the polygon. 6840/40 = 171 degrees, which is the measure of one of the angles of that polygon .
