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 where two lines intersect and one angle is a right - angle (90°) and another is given as 66° is 180°. Let the missing angle be $a$.
We know that $a + 66^{\circ}+90^{\circ}=180^{\circ}$.

Step2: Solve for $a$

$a=180^{\circ}-(90^{\circ} + 66^{\circ})$.
First, calculate the sum inside the parentheses: $90^{\circ}+66^{\circ}=156^{\circ}$.
Then, $a = 180^{\circ}-156^{\circ}=24^{\circ}$.

Answer:

$24$