Question

An optagon has three equal angles each of measure 115°.If all the remaining angles have equal measure, find the measure of each of the these remaining angles.

Answer 1

Answer: octagon have total 8 angles

Three angles are = 115

Remaining angles are of same length

= Let be 5x ( each angle =x)

Sum of total angles of octagon = 1080

So 3x 115 + 5x = 1080

5x = 1080- 345

x = 735/5

x = 147

So the angle will 147

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Step-by-step explanation:

Answer 2

An octagon has got 8 sides and angles

Total sum of interior angles = 1080°

Three angles are equal. Let these angles be 'x'. Therefore x=115°

Let the other equal angles be 'y'

According to Angle sum property,

x + x + x + y + y + y + y + y = 1080°

3x + 5y = 1080°

3 (115) + 5y = 1080°

345 + 5y = 1080°

5y = 1080 - 345 = 735°

y = 735/5 = 147°

Therefore the answer is 147°

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