Question

what is the value of x? art not to scale. x = 23 x = 35 x = 58 x = 93

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, and 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:

\(x = 93\) (the fourth option)