Question

question
a side of the triangle below has been extended to form an exterior angle of 114°. find the value of z.
answer
z =

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 \(z\) and the other is a right angle (\(90^{\circ}\)), and the exterior angle is \(114^{\circ}\). So, \(z + 90^{\circ}=114^{\circ}\).

Step2: Solve for \(z\)

Subtract \(90^{\circ}\) from both sides of the equation: \(z=114^{\circ}-90^{\circ}\).

Answer:

\(24^{\circ}\)