Question

find the value of x. x =

Explanation:

Step1: Recall triangle - angle - sum property

The sum of interior angles of a triangle is 180°. Let the third - interior angle of the triangle be $y$. Then $y+50^{\circ}+70^{\circ}=180^{\circ}$.

Step2: Solve for the third - interior angle $y$

$y = 180^{\circ}-(50^{\circ}+70^{\circ})=180^{\circ}-120^{\circ}=60^{\circ}$.

Step3: Use the linear - pair property

The angle $x$ and the third - interior angle $y$ form a linear pair. So $x + y=180^{\circ}$. Since $y = 60^{\circ}$, then $x=180^{\circ}-60^{\circ}$.

Answer:

$120$