Question

1. find the measure of one interior angle in the regular polygon. a regular polygon (looks like a decagon? or maybe a nonagon? wait, the image shows a regular polygon with several sides, maybe a decagon? or maybe a 10 - sided? wait, no, looking at the image, its a regular polygon, maybe a decagon? wait, the ocr text is: 2. find the measure of one interior angle in the regular polygon. then theres a drawing of a regular polygon, and a text box type a response.

Explanation:

Step1: Count sides of the polygon

The polygon has 12 sides, so $n=12$.

Step2: Sum of interior angles

Use formula: $(n-2)\times180^\circ$

$$\begin{align} (n-2)\times180^\circ&=(12-2)\times180^\circ\\ &=10\times180^\circ\\ &=1800^\circ \end{align}$$

Step3: One interior angle measure

Divide total by number of sides: $\frac{1800^\circ}{12}$

Answer:

$150^\circ$