Question

7. An octagon has three equal angles each of measure 115°. If all the remaining angles have
equal measure, find the measure of each of these remaining angles.
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Answer 1

Answer:

147 degrees

Step-by-step explanation:

The sum of all angles of an octagon is (8-2)*180 = 1080.

If 3 angles measure 115 each, it's sum is 345 degrees.

So what remains is 735 degrees, which is the sum of the 5 equal angles left.

So, 1 angle = 735/5 = 147 degrees.

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Answer 2

Answer:

We know that Sum of all the angles of an octagon is= (8—2)*180

                      = 1080.

If 3 angles measures 115 degree each, it's sum is 345 degree.

So,  what the remain is 735 degree,

                Which the sum of 5 equal angles left.

 So,  1 angle = 735/5

                     = 147 degree.

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