Question

question a side of the triangle below has been extended to form an exterior angle of 124°. find the value of x. answer

Explanation:

Step1: Use the exterior angle theorem

The exterior angle theorem states that an exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. Let the right - angle be \(90^{\circ}\). So, \(124^{\circ}=x + 90^{\circ}\).

Step2: Solve for \(x\)

Subtract \(90^{\circ}\) from both sides of the equation: \(x=124^{\circ}-90^{\circ}\).

Answer:

\(x = 34\)