Question

the diagram shows a triangle.
what is the value of z?
z = \boxed{\space}°

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\).

Step2: Calculate the sum of known angles

Add the two given angles: \(55^\circ + 83^\circ = 138^\circ\).

Step3: Find the unknown angle \(z\)

Subtract the sum from \(180^\circ\): \(z = 180^\circ - 138^\circ = 42^\circ\).

Answer:

\(42\)