Question

= 180° - 47°44:47:3" = 132° 15' 12'6".
The difference of two acute angles of a right-angled triangle is to a radian. Find the
measure of the acute angles in radian and degree.
3
Find the​

Answer 1

Answer:

radians =180

∘

9

π

radian =

π

180

×

9

π

=20

∘

Let the two acute angles of the right-angled triangle be x and y(x>y)

Then x+y=90

∘

.............(i)

and x−y=20

∘

...........(ii)

Solving (i) and (ii) we get

2x=110

∘

⇒ x=55

∘

55

∘

+y=90

∘

⇒y=35

∘

Hence, two angles are 55

∘

and 35

∘

respectively.