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QUESTION IMAGE

48° 121° x° x =

Question

48° 121° x° x =

Explanation:

Step1: Recall exterior - angle property

The exterior - angle of a triangle is equal to the sum of the two non - adjacent interior angles. In this triangle, the exterior angle is \(121^{\circ}\), and the two non - adjacent interior angles are \(48^{\circ}\) and \(x\). So, \(121^{\circ}=48^{\circ}+x\).

Step2: Solve for \(x\)

Subtract \(48^{\circ}\) from both sides of the equation \(121 = 48+x\). We get \(x=121 - 48\).
\(x = 73\)

Answer:

\(73\)