Find the measure of one interior angle for the following regular polygon
1 answer:
Answer:
108 degrees
Step-by-step explanation:
The formula for the total sum of the angles in any REGULAR shape is
, where n represents the number of sides.
The shape in the picture shown is a pentagon (5 sides).
=
So the angle sum is 540 degrees.
Again, we are told that it is a regular polygon, meaning all sides and angles in the shape are equal.
So to find one angle, just divide it by the number of sides.
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4) Rewrite the numerator and denominator.
Answer:
See attached image.
1) factorize numerator and denominator of both expressions.
2) cancel similar terms
3) add both fractions by cross product
4) Rewrite the numerator and denominator.
Answer:
See attached image.
