Triangle QRS is a right triangle with angle Q equal to $90°$ and angle R equal to $35°$. What is the measure of the obtuse angle in triangle QRS?

• A. $90°$
• B. $125°$
• C. There is no obtuse angle in triangle QRS.
• D. $55°$

Answer: (C)

Verified step by step guidance

1. Recall that the sum of the interior angles in any triangle is always \(180^\circ\).
2. Identify the given angles in triangle QRS: angle \(Q = 90^\circ\) (right angle) and angle \(R = 35^\circ\).
3. Calculate the measure of the third angle \(S\) using the formula: \(S = 180^\circ - Q - R\).
4. Substitute the known values: \(S = 180^\circ - 90^\circ - 35^\circ\).
5. Evaluate the result to find angle \(S\), and then determine if any angle is obtuse (greater than \(90^\circ\)). Since \(Q\) is right and \(R\) and \(S\) are less than \(90^\circ\), conclude that there is no obtuse angle in triangle QRS.