Allied & ICAR Exam Bank • ALLIED_2526 NAT • 2 Marks

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Numerical Computation

Question Statement:

A cyclic quadrilateral ABCD has $\angle A = (2x + 10)^\circ$ and $\angle C = (3x + 20)^\circ$. The measure of $\angle A$ in degrees is:

Answer Key:

70

Step-by-Step Solution & Explanation

Opposite angles sum to $180^\circ$: $2x + 10 + 3x + 20 = 180 \implies 5x = 150 \implies x = 30$. $\angle A = 2(30) + 10 = 70^\circ$.
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