Chapter 11, Problem 9CR

To determine

To find: The Value of $x$ .

Answer to Problem 9CR

Value of $x$ is ${95}^0$ and the triangle is Obtuse scalene

Explanation of Solution

Given information:

Two angles of a triangle are ${60}^0$ and ${25}^0$

  $x$ is the third angle.

We know

Sum of angles of a triangle is ${180}^0$

Using that

We get

  $\begin{array}{l}x+{60}^0+{25}^0={180}^0\\ \Rightarrow x+{85}^0={180}^0\\ \Rightarrow x+{85}^0-{85}^0={180}^0-{85}^0\\ \Rightarrow x={180}^0-{85}^0\\ \Rightarrow x={95}^0\end{array}$

The triangle has an Obtuse angle

Th triangle has no congruent sides.

So, the triangle is Obtuse scalene.

Therefore,

Value of $x$ is ${95}^0$ and the triangle is Obtuse scalene