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question a side of the triangle below has been extended to form an exte…

Question

question
a side of the triangle below has been extended to form an exterior angle of 156°. find the value of
x.
answer attempt 2 out of 2
x =

Explanation:

Step1: Use the exterior angle property

The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(156^{\circ}=x^{\circ}+49^{\circ}\).

Step2: Solve for \(x\)

Subtract \(49^{\circ}\) from both sides of the equation: \(x = 156 - 49\).

Answer:

\(x = 107\)