Two angles of a triangle are 75^ and 45^ . What is the value of the third angle in circular measure? (By convention, the radian symbol is omitted.) - Quantitative Aptitude MCQ WBCS Prelims 2021 2026 | ExamTest.live

mediumMCQWBCS Prelims 20212026Quantitative Aptitude

1 mark

Two angles of a triangle are 7 5^{\circ} and 4 5^{\circ} . What is the value of the third angle in circular measure? (By convention, the radian symbol is omitted.)

Solution & Step-by-step Explanation

The sum of internal angles of any triangle is always 18 0^{\circ} . Let the third angle be x : 7 5^{\circ} + 4 5^{\circ} + x = 18 0^{\circ} 12 0^{\circ} + x = 18 0^{\circ} ⟹ x = 6 0^{\circ} To express the angle in circular measure (radians), use the conversion factor \frac{π}{180} : Circular Measure = 6 0^{\circ} \times \frac{π}{18 0 ^{\circ}} = \frac{π}{3}

Try it yourself before checking the explanation above.

Two angles of a triangle are 7 5^{\circ} and 4 5^{\circ} . What is the value of the third angle in circular measure? (By convention, the radian symbol is omitted.)

\frac{π}{2}

\frac{π}{3}

\frac{π}{4}

\frac{π}{5}

Practice with timed mock tests and track your performance across Quantitative Aptitude.