Question

one angle of a pentagon is 160 degree. Find each of the other equal angles. (ans=95 degree) want the solution...asap!!

Answer 1

We know that -

The sum of interior angles of a any polygon having n sides =  (n-2)*180

for pentagon,
                n = 5
 So, the sum of interior angles of a any pentagon = (5-2)*180
                                                                                    =  3*180
                                                                                    =  540 degrees.

Now one angle of the pentagon is 160 degrees (given)
So,
The remaining angles = 540 degrees - 160 degrees
                                       =  380 degrees
Now the remaining 4 angles are equal. So, We need to divide the total remaining angles  by 4:

Hence each angle  =   380 degrees / 4
                                 =   95 degrees.