Question

4. In a polygon, there are 5 right angles and the
remaining angles are equal to 195° each. Find
the number of sides in the polygon.

Answer 1

Answer:

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=

15°

165°

=11

Hence the number of sides in the polygon are 11.

Step-by-step explanation:

Hope it helps

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Answer 2

Answer:

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