Question

the difference between two acute angles of a right angled triangle is 7π/30 find the angles of the triangle in degree​

Answer 1

Answer:

angle 1 = 90

then remaining angles sum = 90

so

angle 2 = 1339/30

angle 3= 1339/30 + 22/30

Answer 2

Given: the difference between two acute angles of a right angled triangle is 7π/30.

To find: The angles of the triangle in degree​.

Solution:

Let one of the acute angles be x. Since the two acute angles are from a right angle, the other acute angle must be (90-x). Thus, the difference between them can be calculated by writing the following equation and solving it.

$x - (90- x) = \frac{7\pi }{30}$

On rearranging and solving for x, the two acute angles can be found.

$2x = \frac{7\pi }{30} +90$

$x = 66$

Now, the other acute angle is

$90 - 66 = 24$

Therefore, the angles of the triangle are 66° and 24°.