Question

n
previous answer
111
problem
given the diagram below, solve for x

Explanation:

Step1: Recall the sum of angles around a point

The sum of angles around a point is \(360^{\circ}\).

Step2: Set up the equation

We have \(87^{\circ}+67^{\circ}+87^{\circ}+x + x=360^{\circ}\). Combine like - terms: \(241^{\circ}+2x = 360^{\circ}\).

Step3: Solve for \(x\)

Subtract \(241^{\circ}\) from both sides: \(2x=360^{\circ}-241^{\circ}\), so \(2x = 119^{\circ}\). Then divide both sides by \(2\): \(x=\frac{119^{\circ}}{2}=59.5^{\circ}\).

Answer:

\(x = 59.5^{\circ}\)