Question

question
a side of the triangle below has been extended to form an exterior angle of 143 °. find the value of x.
answer
attempt 1 out of 2
x =

Explanation:

Step1: Recall the exterior angle theorem for triangles.

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 interior angles is \(90^{\circ}\), and we know the exterior angle is \(143^{\circ}\). Let the non - right interior angle be \(x\). So we have the equation \(143^{\circ}=90^{\circ}+x\).

Step2: Solve for \(x\).

To find \(x\), we subtract \(90^{\circ}\) from both sides of the equation: \(x = 143^{\circ}-90^{\circ}\).
\(x=53^{\circ}\)

Answer:

\(x = 53\)