Question

question
find the measure of the missing angle.
answer attempt 1 out of 2
a =

Explanation:

Step1: Recall angle - sum property

The sum of angles around a point is 360°. Here, we have a right - angle (90°) and a 41° angle, and we want to find angle \(a\). The three angles form a straight - line, and the sum of angles on a straight - line is 180°.

Step2: Set up the equation

Let's set up the equation \(41^{\circ}+90^{\circ}+a = 180^{\circ}\).

Step3: Solve for \(a\)

First, add 41° and 90°: \(41 + 90=131\). Then the equation becomes \(131^{\circ}+a = 180^{\circ}\). Subtract 131° from both sides: \(a=180^{\circ}- 131^{\circ}\).
\(a = 49^{\circ}\)

Answer:

\(49^{\circ}\)