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QUESTION IMAGE

enter the value of x.

Question

enter the value of x.

Explanation:

Step1: Find the exterior - angle of the triangle.

The exterior - angle of the triangle at the top is \(104^{\circ}\), and the non - adjacent interior angle at the bottom is \(83.6^{\circ}\).

Step2: Use the exterior - angle property of a triangle.

The exterior - angle of a triangle is equal to the sum of the two non - adjacent interior angles. Let the unknown angle be \(x\). Then \(104^{\circ}=x + 83.6^{\circ}\).

Step3: Solve for \(x\).

We can rewrite the equation as \(x=104^{\circ}-83.6^{\circ}\). So \(x = 20.4^{\circ}\).

Answer:

\(20.4\)