The angles of a triangle are in the ratio 2:3:5. The largest angle is:

## The reasoning The angles of any triangle always sum to **180°** — that's your foundation. If the angles are in the ratio 2:3:5, think of them as: - First angle = 2x - Second angle = 3x - Third angle = 5x (the largest) Now set up your equation: **2x + 3x + 5x = 180°** Combine: **10x = 180°** Solve: **x = 18°** So the actual angles are: - 2x = 2(18°) = 36° - 3x = 3(18°) = 54° - 5x = 5(18°) = **90°** The largest angle is **90°**. ## Why the wrong options tempt you **Options A, B, C** are actually the *other angles* in this same triangle! If you rush and just calculate one value without identifying which is largest, you'll pick one of these. The question specifically asks for the **largest**, which corresponds to the biggest ratio number (5). ## Quick takeaway In ratio problems, always find the multiplier first (x), then multiply by the *specific* ratio you need — here, the largest ratio was 5, giving 5 × 18° = 90°.