Chapter 2.4, Problem 42E

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6th Edition

Daniel C. Alexander + 1 other

ISBN: 9781285195698

Textbook Problem

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A polygon with four sides is called *quadrilateral*. Consider the figure and the dashed auxiliary line. What is the sum of the measures of the four interior angles of this (or any other) quadrilateral?

To determine

The sum of the measures of the four interior angles of the quadrilateral.

Explanation

**Given:**

A quadrilateral of side *MNPQ.*

Figure

**Properties:**

The sum of the three angles in a triangle is

**Calculation:**

In triangle,

In triangle,

From the figure

Calculate the sum of the measures of the four interior angles of the quadrilateral.

Here, the measures of the four interior angles of the quadrilateral is

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