Question

Qs 8: Three of the exterior angles of an n-sided polygon are 50 two of its interior angles are 127 and 135 and the remaining interior angles are 173 each find the value of n

Answer 1

Answer:

The sum of the exterior angles of any polygon is always 360 deg.

Step-by-step explanation:

Here, 3 exterior angles are 50 deg. each and so their sum = 150 deg. Two other exterior angles are 180–127 or 53º and 180–135 or 45º. Therefore the sum of the 5 exterior angles is 150+53+45 = 248º.

The sum of the remaining exterior angles = 360–248 or 112º. These are of the 112/(180–173) = 112/7 = 16 angles.

Hence n = 5+16 or 21. Answer.