a side of the triangle below has been extended to form an exterior angle of 149°. find the value of x.
a side of the triangle below has been extended to form an exterior angle of 149°. 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 a right - triangle, one of the non - adjacent interior angles to the given exterior angle is $90^{\circ}$ and the other is $x$. So, $149^{\circ}=x + 90^{\circ}$.
Step2: Solve for $x$
Subtract $90^{\circ}$ from both sides of the equation $149^{\circ}=x + 90^{\circ}$. We get $x=149^{\circ}-90^{\circ}$.
Answer:
$x = 59^{\circ}$