Question

what is the value of z? 84.8° 71.8°

Explanation:

Step1: Recall angle - sum property of a full - turn

The sum of angles around a point is 360°.

Step2: Set up the equation

Let the unknown angle be \(z\). We have \(z + 84.8^{\circ}+71.8^{\circ}+ 180^{\circ}=360^{\circ}\) (the \(180^{\circ}\) comes from the straight - line part).

Step3: Simplify the left - hand side of the equation

\(z+(84.8^{\circ}+71.8^{\circ}+180^{\circ})=z + 336.6^{\circ}\).

Step4: Solve for \(z\)

Subtract \(336.6^{\circ}\) from both sides of the equation: \(z=360^{\circ}-336.6^{\circ}\).
\(z = 23.4^{\circ}\)

Answer:

\(23.4\)