Question

The difference between two acute angle of right angle triangle is π/9 . then the angles in degree are​

Answer 1

Answer:

acute angle is less than right angle

because acute angle is between 0 degree and 90 degree

Answer 2

Answer:

The 2 acute angles are, 55° & 35°

Step-by-step explanation:

let the 2 acute angles be α & β

=> in this right triangle,

  α+β+(π/2) = π

=> α+β = π - (π/2)

=> α+β = π/2 = 90 ------------- (1)

also given than  α-β = π/9 = 20 -------(2)

by adding (1) & (2), we have,

α+β+α-β  = 90+20

=> 2α = 110

=> α = 110/2 = 55°

by (1),

55°+β = 90°

=> β = 90°-55° = 35°

so,The 2 acute angles are, 55° & 35°