Chapter 9.5, Problem 60STP

To determine

The value of x

Answer to Problem 60STP

  $x=58$

Explanation of Solution

Given:

The triangle shown is an isosceles triangle and one angle is of 64 degree

  

Concept Used:

• An isosceles triangle is a triangle that has two equal sides length.
• The total inner angle is always equal to 180.

Rules of Addition/ Subtraction:

• Two numbers with similar sign always get added and the resulting number will carry the similar sign.
• Two numbers with opposite signs always get subtracted and the resulting number will carry the sign of larger number.

Calculation:

In order to solve the value of x

Here to isolate x on left side, combining the like terms as shown below,

  $\begin{array}{l}x+64+x=180\\ 2x+64=180\\ 2x+64-64=180-64\\ 2x=116\\ \frac{2x}{2}=\frac{116}{2}\\ x=58\end{array}$

Thus, the value of x is $x=58$ .