Question

what is the value of n? n 58° 78°

Explanation:

Step1: Recall angle - sum property of a circle

The sum of angles around a point is 360°.

Step2: Set up the equation

Let the unknown angle be \(n\). We have \(n + 78^{\circ}+58^{\circ}+ 180^{\circ}=360^{\circ}\) (the \(180^{\circ}\) comes from the straight - line part of the angles around the point).

Step3: Simplify the left - hand side

\(n+(78 + 58+180)^{\circ}=n + 316^{\circ}\).

Step4: Solve for \(n\)

Subtract 316° from both sides of the equation \(n+316^{\circ}=360^{\circ}\), so \(n=360^{\circ}-316^{\circ}\).

Step5: Calculate the value of \(n\)

\(n = 44^{\circ}\)

Answer:

\(44\)