Two regular polygon are such that the ratio between their number of sides is 1:2 and the ratio of measures of their interior angles is 3:4. Find the number of sides of each polyg

Explanation

To solve the problem step by step, we will find the number of sides of two regular polygons based on the given ratios.

### Step 1: Define Variables
Let \( n_1 \) be the number of sides of the first polygon and \( n_2 \) be the number of sides of the second polygon. According to the problem, the ratio of their number of sides is given as \( 1:2 \).

### Step 2: Set Up the Ratio of Sides
From the ratio \( 1:2 \), we can express the relationship between \( n_1 \) and \( n_2 \):
\[
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