I'm guessing you mean with parallels and a transversal. If this is the case, then find he angle that is either
a; supplementary (creating a flat angle, 180 degrees) or
b; complimentary (creating a 90 degree angle)
subtract the supplementary/complimentary angle from either 180 or 90 and the difference is your answer. Hope I helped!
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More likely the question is concerned with the interior angles of a polygon. If the polygon is irregular then there is no simple answer. An interior angle can have any value.
However, if it is a regular polygon then the question can be answered. The sum of all the exterior angles is 360 degrees - irrespective of the number of sides (or vertices). Suppose the polygon has n sides/vertices.
Then, since it is regular, each exterior angle is 360/n. Therefore, each interior angle is 180-360/n degrees.
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144 degrees
It is: (number of sides -2)*180 = sum of interior angles If its a regular polygon then: sum of interior angles/number of sides = each interior angle
Total of interior angles of an n-sided polygon is 180n -360 or (2n -4) right angles. If the polygon is regular then each angle is the total obtained above divided by n.
Measure them with a protractor
To find the measure of each interior angle in a polygon when the sum of the angles is given, you divide the total sum by the number of angles in the polygon. If the sum of the interior angles is 3960, and the polygon is a hexagon (6 sides), each interior angle would measure 660 degrees (3960 ÷ 6 = 660). This is because the sum of the interior angles of a polygon with n sides is given by (n-2) * 180 degrees.