Question

part b
there are 180° in a triangle. so, how many total degrees are in a quadrilateral? explain your reasoning using your answer
from part a.

Explanation:

Step1: Recall the relationship between triangles and quadrilaterals

A quadrilateral can be divided into two triangles.

Step2: Calculate the sum of interior angles of a quadrilateral

Since the sum of interior angles of a triangle is \(180^{\circ}\), and a quadrilateral is composed of two triangles. So the sum of interior angles of a quadrilateral is \(180^{\circ}\times2\).

$$180^{\circ}\times2 = 360^{\circ}$$

Answer:

The total degrees in a quadrilateral is \(360^{\circ}\).