In a right angle triangle, one angle is 15°, the other angle can be

Question

In a right angle triangle, one angle is 15°, the other angle can be

1. A. 15°
2. B. 75° (Correct answer)
3. C. 115°
4. D. 65°

Correct Answer

Option B — 75°

Detailed Solution & Explanation

The correct answer is 75°.

Key Points

• A triangle's angles total 180°. A right-angled triangle already contains one angle of 90°.
• The remaining two must therefore sum to 90°, so with one of them at 15°, the other is 90 − 15 = 75°.
• 115° is impossible, since 90 + 115 already exceeds 180°.

Additional Information

• The two non-right angles of a right triangle are always complementary — they add to 90°.
• Angles adding to 180° are supplementary; the distinction is frequently examined.
• Related results: the exterior angle of a triangle equals the sum of the two opposite interior angles, and the sum of all exterior angles of any polygon is 360°.