Question

17 multiple choice 1 point
what is the measure of \\( \angle a c d \\)?
63
30
147
150

Explanation:

Step1: Apply 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. In \(\triangle ABC\), \(\angle ACD\) is an exterior angle. The two non - adjacent interior angles are \(\angle A\) and \(\angle B\).

Step2: Calculate \(\angle ACD\)

We know that \(\angle A = 33^{\circ}\) and \(\angle B=117^{\circ}\). Using the formula \(\angle ACD=\angle A+\angle B\), we substitute the values: \(\angle ACD = 33^{\circ}+117^{\circ}\).

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Answer:

150