Question

solve for m∠bce.

Explanation:

Step1: Recall angle - relationship

The sum of angles around a point is 360°.

Step2: Set up the equation

Let \(m\angle BCE=x\). We know that \(158^{\circ}+118^{\circ}+x = 360^{\circ}\).

Step3: Solve for \(x\)

First, add 158 and 118: \(158 + 118=276\). Then the equation becomes \(276^{\circ}+x = 360^{\circ}\). Subtract 276 from both sides: \(x=360 - 276\). So \(x = 84^{\circ}\).

Answer:

84