Question

what is the measure of angle a?

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°.

Step2: Set up the equation

Let the three angles of the triangle be 40°, 46°, and \(A\). So, \(A + 40^{\circ}+46^{\circ}=180^{\circ}\).

Step3: Solve for \(A\)

\[

$$\begin{align*} A&=180^{\circ}-(40^{\circ} + 46^{\circ})\\ A&=180^{\circ}-86^{\circ}\\ A& = 94^{\circ} \end{align*}$$

\]

Answer:

\(94^{\circ}\)