Question

find the measure of the missing angle.
(image of angle diagram with 55° and a right angle, and angle a to find)
answer
attempt 1 out of 2
a = \boxed{°}
submit answer

Explanation:

Step1: Identify vertical angle property

Vertical angles are equal. The angle adjacent to the right angle and $55^\circ$ is vertical to $a$.

Step2: Calculate the adjacent angle

A right angle is $90^\circ$. The sum of angles on a straight line is $180^\circ$, so the angle vertical to $a$ is $180^\circ - 90^\circ - 55^\circ$.
<Expression>
$180 - 90 - 55 = 35$
</Expression>

Step3: Equate to angle $a$

Since vertical angles are equal, $a$ equals this calculated value.

Answer:

$35$