Question

solve for x

Explanation:

Step1: Use 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. So, \(97 + x=64 + 27\).

Step2: Simplify the right - hand side

Calculate \(64+27 = 91\). The equation becomes \(97 + x=91\).

Step3: Solve for \(x\)

Subtract 97 from both sides of the equation: \(x=91 - 97\).

Answer:

\(x=-6\)