Question

In a polygon, there are 5 right angles and the remaining angles are equal to 195° each. Find the no. of sides in the polygon​

Answer 1

Answer:

Step-by-step explanation:

Let n be the number of sides.

Therefore,

Sum of interior angles =(n−2)180°

Given that there are 5 right angles.

Sum of interior angles =5×90°+(n−5)195°

Therefore,

(n−2)180°=450°+(n−5)195°

180n−360°=450°+195n−975°

⇒195n−180n=525°−360°

= n = 165/15 = 11

Hence the number of sides in the polygon are 11.