Question

question 3
a side of the triangle below has been extended to form an exterior angle of 67°. find the value of x.
19°
x°
67°

Explanation:

Step1: Recall exterior - angle property

The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles.

Step2: Set up the equation

Let the non - adjacent interior angles be $19^{\circ}$ and $x$. The exterior angle is $67^{\circ}$. So, $19 + x=67$.

Step3: Solve for $x$

Subtract $19$ from both sides of the equation: $x = 67-19$.
$x = 48$

Answer:

$48$