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a side of the triangle below has been extended to form an exterior angl…

Question

a side of the triangle below has been extended to form an exterior angle of 117°. find the value of x.

Explanation:

Step1: Use the linear - pair property

The exterior angle of \(117^{\circ}\) and the angle \(x\) form a linear pair. The sum of angles in a linear pair is \(180^{\circ}\). So, we have the equation \(x + 117=180\).

Step2: Solve for \(x\)

Subtract \(117\) from both sides of the equation \(x + 117=180\).

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Answer:

\(63\)