Question

problem 16: find x. (first taught in lesson 30) after you enter your answer press go. x =

Explanation:

Step1: Recall angle - sum property

The sum of interior angles of a triangle is $180^{\circ}$.

Step2: Find the third - angle of the triangle

Let the third - angle of the triangle be $y$. The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. The exterior angle here is $105^{\circ}$. One of the non - adjacent interior angles is $50^{\circ}$. So, $y+50^{\circ}=105^{\circ}$, then $y = 105^{\circ}-50^{\circ}=55^{\circ}$.

Step3: Determine the value of $x$

Since $x$ and $y$ are the same angle, $x = 55$.

Answer:

$x = 55$