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QUESTION IMAGE

find x. 59° 101° $x$° $x=$

Question

find x.
59°
101°
$x$°
$x=$

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. Here, \(x + 59=101\).

Step2: Solve for \(x\)

Subtract 59 from both sides of the equation \(x + 59=101\). So, \(x=101 - 59\).

Answer:

\(x = 42\)