Question

a rectangle has opposite sides that are parallel and congruent. what is the measure of each interior angle in a rectangle? each angle measures _____ degrees. the solution is

Explanation:

Step1: Recall the properties of a rectangle

A rectangle is a quadrilateral.

Step2: Use the angle - sum property of quadrilaterals

The sum of interior angles of a quadrilateral is \((4 - 2)\times180^{\circ}=360^{\circ}\).

Step3: Let the measure of each interior angle be \(x\)

Since a rectangle has 4 interior angles and all angles are equal in a rectangle.
We have \(4x = 360^{\circ}\).

Step4: Solve for \(x\)

Divide both sides of the equation \(4x = 360^{\circ}\) by 4.
\(x=\frac{360^{\circ}}{4}=90^{\circ}\).

Answer:

90