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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°.

Find the measure of angle a in a right triangle where one of the angles is 46°.

Learn how to calculate the missing angle in a right triangle where one of the angles is given as 46°. Using the angle sum property of triangles, this step-by-step solution explains how to find the unknown angle, suitable for students in Grades 6-8.

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