Question

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

triangle with 54° and 57° interior angles, x° exterior angle
enter your answer.

Explanation:

Step1: Recall the exterior angle theorem

The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles.

Step2: Identify the non - adjacent interior angles

In the given triangle, the two non - adjacent interior angles to the exterior angle \(x^{\circ}\) are \(54^{\circ}\) and \(57^{\circ}\).

Step3: Calculate the value of \(x\)

Using the exterior angle theorem, we have \(x = 54+57\).
\(x=111\)

Answer:

111