Question

The points A,B,C and D are consecutive vertices of a regular polygon with 20 sides.Find ABC and ABD

Answer 1

Solution: If the regular polygon has 20 sides, each exterior angle

= 360/20 = 18 deg.

So the interior angle ABC

= 180–18 = 162 deg.

∆BCD is isosceles and <BCD

= 162 deg.

So <CBD = (180–162)/2

= 18/2

= 9.

Hence <ABD = 162–9

= 153 deg.

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