Question

find the value of x.

Explanation:

Step1: Recall total angle around a point

The sum of angles around a point (in a circle) is \(360^\circ\).

Step2: Sum the known angles

Add the given angles: \(95^\circ + 80^\circ + 47^\circ = 222^\circ\).

Step3: Solve for \(x\)

Subtract the sum of known angles from \(360^\circ\): \(x = 360^\circ - 222^\circ = 138^\circ\).

Answer:

\(138^\circ\)