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 in a right - angle situation (where one angle is 90°) is 180°. Here, we know one non - right angle is 41° and we want to find the other non - right angle $a$. The sum of the three angles (41°, 90°, and $a$) in the angle - combination is 180°. So, $41^{\circ}+90^{\circ}+a = 180^{\circ}$.

Step2: Solve for $a$

First, simplify the left - hand side: $41 + 90=131$. So the equation becomes $131^{\circ}+a = 180^{\circ}$. Then, subtract 131° from both sides: $a=180^{\circ}-131^{\circ}$. So, $a = 49^{\circ}$.

Answer:

$49$