In a right triangle, if one of the non-right angles (angle $6$) measures $141°$, what is the measure of the other non-right angle (angle $5$)?

• A. It is not possible for a non-right angle in a right triangle to measure $141°$.
• B. $39°$
• C. $90°$
• D. $49.5°$

Answer: (A)

Verified step by step guidance

1. Recall that in a right triangle, one angle is exactly 90\degree, and the sum of all three angles must be 180\degree.
2. Given that one of the non-right angles is 141\degree, check if this is possible by adding it to the right angle: 90\degree + 141\degree = 231\degree, which already exceeds 180\degree.
3. Since the sum of the right angle and the given non-right angle is greater than 180\degree, this violates the triangle angle sum property, making the given angle impossible in a right triangle.
4. Therefore, it is not possible for a non-right angle in a right triangle to measure 141\degree.
5. If the angle were valid, you would find the other non-right angle by subtracting the sum of the known angles from 180\degree using the formula: \(\text{other angle} = 180\degree - 90\degree - \text{given angle}\).