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. The two non - adjacent interior angles are \(35^{\circ}\) and \(58^{\circ}\).
So, \(x = 35+58\)

Step2: Calculate the value of \(x\)

\(x=35 + 58=93\)

Answer:

\(x = 93\)