In a right triangle, two interior angles each measure $34°$. Which of the following statements is true about this triangle?

• A. This is possible and the triangle is isosceles.
• B. This is not possible because the sum of the angles would be greater than $180°$.
• C. This is possible and the third angle measures $112°$.
• D. This is not possible because the sum of the angles would be less than $180°$.

Answer: (B)

Verified step by step guidance

1. Recall that the sum of the interior angles in any triangle is always \$180^\circ$.
2. In a right triangle, one of the angles is always \$90^\circ$ by definition.
3. If two interior angles each measure \$34^\circ\(, add these two angles together: \)34^\circ + 34^\circ = 68^\circ$.
4. Add the right angle to this sum: \$68^\circ + 90^\circ = 158^\circ$.
5. Since the total sum of these angles is \$158^\circ\(, which is less than \)180^\circ\(, having two angles of \)34^\circ\( in a right triangle is possible, and the third angle would be \)180^\circ - 158^\circ = 22^\circ$.