Question

what is the value of x? art not to scale.

Explanation:

Step1: Apply the exterior angle theorem

The exterior angle theorem states that an exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. In triangle \(SQR\), \(x\) is an exterior angle. The two non - adjacent interior angles are \(35^{\circ}\) and \(58^{\circ}\).
So, \(x=35 + 58\)

Step2: Calculate the sum

\(x=35+58=93\)

Answer:

\(x = 93\)