Chapter 4, Problem 5CT

To determine

To complete: the blank in the given statement.

Answer to Problem 5CT

120

Explanation of Solution

Given information:

The given statement is “ $\Delta CAP$ and $\Delta TAP$ are equilateral and coplanar. $\overline{AP}$ is a common

side of the two triangles. $m\angle CAT=$ $\underset{\_}{}$ ”.

The equilateral triangles are having all equal sides and equal angles.

All the interior angles in equilateral triangles are equal to $60$ degrees.

Thus,

  $\begin{array}{l}m\angle CAT=m\angle CAP=+m\angle TAP\\ =60+60\\ =120\end{array}$

Hence,

  $m\angle CAT=\underset{\_}{{\text{ 120}}^0}$ ”.