a side of the triangle below has been extended to form an exterior angle of 163°. find the value of x.
a side of the triangle below has been extended to form an exterior angle of 163°. 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, $163^{\circ}=x + 51^{\circ}$.
Step2: Solve for x
Subtract $51^{\circ}$ from both sides of the equation: $x=163^{\circ}-51^{\circ}$. $x = 112^{\circ}$
Answer:
$112$