a side of the triangle below has been extended to form an exterior angle of 143°. find the value of x.
a side of the triangle below has been extended to form an exterior angle of 143°. 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. In this triangle, one non - adjacent interior angle is $90^{\circ}$ and the other is $x^{\circ}$, and the exterior angle is $143^{\circ}$. So, $90 + x=143$.
Step2: Solve for $x$
Subtract 90 from both sides of the equation: $x = 143−90$. $x=53$.
Answer:
$53$