Question

question a side of the triangle below has been extended to form an exterior angle of 133°. find the value of x.

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 - angled triangle, if one of the non - adjacent interior angles to the given exterior angle is 90° (the right angle), and let the other non - adjacent interior angle be \(x\). According to the exterior - angle property of a triangle, \(133^{\circ}=90^{\circ}+x\).

Step2: Solve for \(x\)

Subtract 90° from both sides of the equation \(133 = 90+x\). We get \(x=133 - 90\).
\(x = 43\)

Answer:

\(43\)