The image shows a right triangle where one of the angles is 46°, and you're tasked with finding the measure of angle $a$.

In any right triangle, the sum of all angles is 180°, and since one angle is a right angle (90°), the sum of the two other angles must be:

$\text{Sum of other two angles} = 180^\circ - 90^\circ = 90^\circ$

Given that one of the angles is 46°, we can find angle $a$ by subtracting this value from 90°:

$a = 90^\circ - 46^\circ = 44^\circ$

Thus, the measure of angle $a$ is 44°.

Would you like any further details or explanations?

Here are five related questions:

1. How do you calculate the third angle in a non-right triangle?
2. Can the two acute angles in a right triangle ever be the same?
3. What is the relationship between sine, cosine, and the angles in a right triangle?
4. How would you use trigonometric functions to find the sides of this triangle?
5. If another angle were given, how would you solve for unknown side lengths?

Tip: Always remember that the sum of all angles in any triangle is 180°, and in a right triangle, one angle is fixed at 90°.