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°


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