One angle of a triangle is grades, and another is degrees while the third is radians. Express all the angles in degrees.

Question

Philoid · Accepted Answer

Given one angle of a triangle is 2x/3 grades and another is 3x/2 degree while the third is πx/75 radians.

We know that

We know that π rad = 180° ⇒ 1 rad = 180°/ π

Given

We know that the sum of the angles of a triangle is 180°.

⇒ 45 x° = 180° × 10°

⇒ 45 x° = 1800°

⇒ x° = 1800°/ 45°

∴ x = 40°

∴ The angles of the triangle are