a side of the triangle below has been extended to form an exterior angle of 128°. find the value of x.
a side of the triangle below has been extended to form an exterior angle of 128°. find the value of x.
Answer
Explanation:
Step1: Recall exterior - angle property
The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, $128^{\circ}=x + 106^{\circ}$.
Step2: Solve for $x$
Subtract $106^{\circ}$ from both sides of the equation: $x=128^{\circ}- 106^{\circ}$.
Answer:
$22^{\circ}$