Question

1. what is the measure of each angle in a regular polygon with 4 sides?

Explanation:

Step1: Identify the polygon type

A 4-sided regular polygon is a square/rectangle.

Step2: Calculate total interior angles

Use formula for total interior angles: $(n-2)\times180^\circ$, where $n=4$.
$\text{Total angles}=(4-2)\times180^\circ = 2\times180^\circ=360^\circ$

Step3: Find each angle measure

Divide total by number of sides: $\frac{360^\circ}{4}$

Answer:

$90^\circ$