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Q. The measure of an angle in degrees, grades and radians be D, G and $C$ respectively, then the relation between them
$\frac{ D }{90} =\frac{ G }{100}=\frac{2 C }{\pi} \text { but } 1^{ c }=\left(\frac{180}{\pi}\right)^{\circ} $
$ \simeq 57^{\circ}, 17^{\prime}, 44.8^{\prime \prime}$
and sum of interior angles of a n-sided regular polygon is $(2 n-4) \pi / 2$
One angle of a triangle is $\frac{4 x}{3}$ grades and another is $3 x$ degrees, while the third is $\frac{2 \pi x}{75}$ radians. Then the angles in degrees are-

Trigonometric Functions

Solution:

Correct answer is (b) $24,60,96$