Chapter 3, Problem 9CT

To determine

To find: the measures of numbered angles in the given triangle.

Answer to Problem 9CT

The measures of numbered angles $\angle 1=\angle 2={60}^0,\angle 3={120}^0$

Explanation of Solution

Given information:

The given figure is as follows

The triangle $XYZ$ is regular triangle.

Calculation:

The regular triangle has all sides are congruent and all angles are congruent.

So, for triangle $XYZ$ each angle is

  $\begin{array}{l}=\frac{180}{3}\\ =60\end{array}$

Then the angles of triangle are

  $\begin{array}{l}\angle 1=\angle 2={60}^0\\ \angle 3=180-60={120}^0\end{array}$

Hence, the $\angle 1=\angle 2={60}^0,\angle 3={120}^0$