Chapter 4.2, Problem 46HP

To determine

To explain:

Reason for how Arnold knows that given triangle has at least one of his measures is incorrect is true.

Answer to Problem 46HP

Reason for how Arnold knows that given triangle has at least one of his measures is incorrect is true is explained as below.

Explanation of Solution

Given information:

  

It is given that given triangle has at least one of his measures is incorrect.

There can be at most one right and obtuse angle in a triangle.

Three measures of the angles of the triangle are $37,93$ and $130$ .

This is a violation of triangle angle-sum corollary.

The sum of the measures of the angles of a triangle is $180°$ .

To find the sum of the three given measuers.

  $\begin{array}{l}37+93+130=260\\ \ne 180\end{array}$

Therefore, this is a violation of triangle angle sum theorem.

Hence at least one of three measures is incorrect.