Q13. - Algebra 2

Question

In the figure at the right, state the value of $\text{x}$.

Step-by-Step Solution

Answer

The value of x is $55°$.

Step 1 - State the definition of a variable.

A variable is a term that is used to represent an unknown value.

Step 2 - Evaluate the value of x .

Consider the diagram:

In the the diagram two angles are formed on a straight line.

 

And it is known that sum of angles on a straight line is $180°$.

 

Then, from the diagram,

 

$2x+70°=180°$.

 

Simplify the equation by subtraction and division,

 

$\begin{array}{c}2x+{70}^{\circ }-{70}^{\circ }={180}^{\circ }-{70}^{\circ }\\ 2x={110}^{\circ }\\ \frac{2x}{2}=\frac{{110}^{\circ }}{2}\\ x={55}^{\circ }\end{array}$

Step 3 - State the conclusion.

Therefore, the value of x is $55°$