Question

The difference between two acute angle of a right angle triangle is 36. Find these angle in radians and degrees

Answer 1

let the 2 acute angles be x and y
goven x- y= 36
then x = 36 + y
now the given triamgle is and right angled triangle so one angle will be 90°

we know that sum of all angles of a triangle is 180°
so, y + 36 + y + 90 = 180
2y = 180 - 90 - 36
2y = 54°
y = 27°
now x will be 36 + 27 = 63°
1° = π / 180° so,
y = (27) x π / 180
= 0.147 rad.
or
3π / 20 rad
x = (63) x π / 180
x = 1.099 rad.
or
= 7π / 20 rad.

Answer 2

Answer:

let the 2 acute angles be x and y

goven x- y= 36

then x = 36 + y

now the given triamgle is and right angled triangle so one angle will be 90°

we know that sum of all angles of a triangle is 180°

so, y + 36 + y + 90 = 180

2y = 180 - 90 - 36

2y = 54°

y = 27°

now x will be 36 + 27 = 63°

1° = π / 180° so,

y = (27) x π / 180

= 0.147 rad.

or

3π / 20 rad

x = (63) x π / 180

x = 1.099 rad.

or

= 7π / 20 rad.