Question

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

Short answer

The value of x is $55°$.

Step-by-step solution

- State the definition of a variable.

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

- 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,

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

- State the conclusion.

Therefore, the value of x is $55°$