Question

3 numeric 1 point determine the measure of ∠a. answer

Explanation:

Step1: Use the exterior - angle theorem

The exterior - angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two non - adjacent interior angles. In \(\triangle ABC\), \(\angle ACD\) is an exterior angle. So, \(\angle ACD=\angle A+\angle B\).

Step2: Solve for \(\angle A\)

We know that \(\angle ACD = 121^{\circ}\) and \(\angle B=36^{\circ}\). Substitute these values into the equation \(\angle ACD=\angle A+\angle B\). Then \(\angle A=\angle ACD - \angle B\).

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Answer:

\(85\)