Question

In triangle ABC, the measure of angle A is 25° and the measure of angle B is greater than 90°. Which of the following could be the measure of angle C? Indicate all possible values.

• A. 12°
• B. 15°
• C. 45°
• D. 50°
• E. 70°

Hint:

In triangles, the sum of interior angles always equals 180°, and angle constraints can help determine the possible values for other angles.

Answer 1

The Correct Option is C

In any triangle, the sum of the interior angles must be 180°. We are given that the measure of angle A is 25°, and angle B is greater than 90°. Thus, angle B must be between 90° and 180°. If we assume angle B is 90°, then angle C must be 65° to satisfy the equation: \[ 25^\circ + 90^\circ + 65^\circ = 180^\circ \] Since angle C must be a positive value and the sum must equal 180°, possible values for angle C can range from 45° to 50°, depending on the actual value of angle B.
Final Answer: \[ \boxed{\text{(C) 45°, (D) 50°}} \]