Question

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

• A. $20,60,100$
• B. $24,60,96$
• C. $36,60,84$
• D. $20,40,120$

Answer 1

Answer: (B)

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