Question

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

Step1: Identify angle sum property

We know that a right angle is $90^\circ$, and the sum of angles around a point (or in a straight line related to right angle and given angle) here: the right angle ($90^\circ$), $55^\circ$, and $a$ should add up such that they form a linear pair or right - angle related sum? Wait, actually, the right angle ($90^\circ$), $55^\circ$, and $a$ are in a set of angles that sum to $180^\circ$? No, wait, looking at the diagram, the right angle (marked by the square) means that the angle is $90^\circ$, and we have a $55^\circ$ angle, and angle $a$. Since these three angles (right angle, $55^\circ$, $a$) are adjacent and form a straight line? Wait, no, actually, the right angle is $90^\circ$, and we know that $90^\circ+ 55^\circ+a=180^\circ$? Wait, no, maybe it's a right angle, so the sum of $55^\circ$ and $a$ should be $90^\circ$? Wait, let's re - examine. The right angle is $90^\circ$, and the angle between the two lines with the $55^\circ$ and $a$: actually, in the diagram, the right angle (90 degrees), $55$ degrees, and angle $a$ are such that they are complementary? Wait, no, the sum of angles in a right angle - related situation: if we have a right angle (90°), and one angle is 55°, then the missing angle $a$ can be found by $a = 90^\circ- 55^\circ$.

Step2: Calculate the value of $a$

Using the formula $a=90^\circ - 55^\circ$, we get $a = 35^\circ$.

Answer:

$35^\circ$