UPPSC 2025

Q. The ratio of the angles ∠A and ∠B of a non-square rhombus ABCD is 4 : 5, the value of ∠C will be

a) 50°
b) 95°
c) 45°
d) 80°
Correct Answer: d) 80°

Question from UPPSC Prelims CSAT 2025

Explanation:

In a rhombus (a parallelogram), adjacent angles are supplementary and opposite angles are equal.

Let ∠A = 4x and ∠B = 5x. Then 4x + 5x = 180°, so x = 20°. Hence ∠A = 80° and ∠B = 100°. Since ∠C is opposite ∠A, ∠C = ∠A = 80°.

The ‘non-square’ condition just ensures the angles aren’t 90° and doesn’t affect the calculation.

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