Q. 33.9( 24 Votes )

# The difference between the two acute angles of a right-angled triangle is 2π/5 radians. Express the angles in degrees.

Answer :

Given the difference between the two acute angles of a right-angled triangle is 2π/5 radians.

__We know that π rad = 180°__ __⇒__ __1 rad = 180°/ π__

Given

= (36 × 2) °

= 72°

Let one acute angle be x° and the other acute angle be 90° - x°.

Then,

⇒ x° - (90° - x°) = 72°

⇒ 2x° - 90° = 72°

⇒ 2x° = 72° + 90°

⇒ 2x° = 162°

⇒ x° = 162°/ 2

∴ x° = 81° and 90° - x° = 90° - 81° = 9°

Rate this question :

If , find the value of .

RS Aggarwal - MathematicsExpress each of the following angles in radians

36°

RS Aggarwal - Mathematics

Using a protractor, draw each of the following angles.

-40°

RS Aggarwal - Mathematics

Using a protractor, draw each of the following angles.

430°

RS Aggarwal - Mathematics

Express each of the following angles in radians

-22°30’

RS Aggarwal - Mathematics

Express each of the following angles in radians

400°

RS Aggarwal - Mathematics

Express each of the following angles in radians

225°

RS Aggarwal - Mathematics

Using a protractor, draw each of the following angles.

300°

RS Aggarwal - Mathematics

The value of is

Mathematics - ExemplarUsing a protractor, draw each of the following angles.

-310°

RS Aggarwal - Mathematics