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QUESTION IMAGE

find x. 60° 104° $x^{circ}$ $x=$

Question

find x.
60°
104°
$x^{circ}$
$x=$

Explanation:

Step1: Find the adjacent angle of \(104^{\circ}\)

The adjacent angle of \(104^{\circ}\) is \(180 - 104=76^{\circ}\) (linear - pair of angles: \(a + b=180^{\circ}\)).

Step2: Use the exterior - angle property of a triangle

The exterior - angle property of a triangle states that the exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles.
So, \(x=60 + 76\) (exterior - angle property: \(x=a + b\), where \(a = 60^{\circ}\) and \(b = 76^{\circ}\)).

Answer:

\(x = 136\)