If 6A = (A - 29^) , where 2A is an acute angle, then find the measure of A . - Quantitative Aptitude MCQ Prepp 2026 | ExamTest.live

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If sec 6 A = csc (A - 2 9^{\circ}), where 2 A is an acute angle, then find the measure of ∠ A .

Solution & Step-by-step Explanation

Using the complementary angle identity sec θ = csc (9 0^{\circ} - θ), we can rewrite the equation: csc (9 0^{\circ} - 6 A) = csc (A - 2 9^{\circ}) Equating the angles: 9 0^{\circ} - 6 A = A - 2 9^{\circ} 9 0^{\circ} + 2 9^{\circ} = A + 6 A 11 9^{\circ} = 7 A A = \frac{11 9 ^{\circ}}{7} = 1 7^{\circ}

Try it yourself before checking the explanation above.

If sec 6 A = csc (A - 2 9^{\circ}), where 2 A is an acute angle, then find the measure of ∠ A .

1 8^{\circ}

1 7^{\circ}

2 1^{\circ}

1 9^{\circ}

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