Asked by Monica
A regular polygon has an exterior angel measure of (x+3) Degrees and an interior angle measure of (13x-33) degrees
Find the measure of each angle
How mant sides does this polygon have?
Find the measure of each angle
How mant sides does this polygon have?
Answers
Answered by
Reiny
Look at a pair of interior and exterior angles.
Don't they form a straight line, so
13x-33 + x+3 = 180
14x = 210
x = 15
each exterior angle is 18°
and each interior is 162°
the sum of all exterior angles is always 360
so each angle is 360/18 or 20 angles
20 angles ----> 20 sides
Don't they form a straight line, so
13x-33 + x+3 = 180
14x = 210
x = 15
each exterior angle is 18°
and each interior is 162°
the sum of all exterior angles is always 360
so each angle is 360/18 or 20 angles
20 angles ----> 20 sides
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