Question

how to find the no of sides of a polygon when given interior as 3x degrees and exterior angle is [x-20]

Answer 1

STEP 1: Find x

Interior angle and exterior angle add up to 180

3x + (x - 20) = 180

3x + x - 20 = 180

4x = 200

x = 50

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STEP 2: Find exterior angle:

exterior angle = x - 20

exterior angle = 50 - 20

exterior angle = 30°

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STEP 3: Find number of sides:

Sum of all exterior angles = 360°

Number of sides = 360 ÷ 30 = 12

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Answer: There are 12 sides to this polygon

Answer 2

Step-by-step explanation:

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