Question

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1. b. what is the value of x in the figure?

triangle with ( x^circ ), ( 49^circ ), and exterior angle ( 104^circ )
enter your answer.

Explanation:

Step1: Recall triangle exterior angle theorem

The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, if we let the exterior angle be \(104^{\circ}\), one non - adjacent interior angle be \(x^{\circ}\) and the other be \(49^{\circ}\), we have the equation \(104=x + 49\).

Step2: Solve for x

To find \(x\), we subtract \(49\) from both sides of the equation.
\(x=104 - 49\)
\(x = 55\)

Answer:

\(55\)