a side of the triangle below has been extended to form an exterior angle of 156°. find the value of x.
a side of the triangle below has been extended to form an exterior angle of 156°. 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, $156^{\circ}=x + 49^{\circ}$.
Step2: Solve for $x$
Subtract $49^{\circ}$ from both sides of the equation: $x=156^{\circ}-49^{\circ}$. $x = 107^{\circ}$
Answer:
$107$