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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 76°. find the value of 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, \(x + 51=76\).

Step2: Solve for \(x\)

Subtract 51 from both sides of the equation: \(x=76 - 51\).

Answer:

\(25\)