Question

I want full explained solution
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Answer 1

Answer:

The acute angles are 56 degree and 36 degree

Step-by-step explanation:

We clearly know that a right angled triangle consists one 90 degree angle..

Lets take one of the acute angle as x degree ..

So the other angle will be 2 / 3 of x = 2x / 3          [ According to question ]

Now,

Angle sum property :- The sum of interior angles of a triangle is 180 degree .

So , 90 + x + 2x/3 = 180

TAKING LCM ..

270 + 3x + 2x / 3 = 180

270 + 5x = 540

5x = 540 - 270

x = 270 / 5 = 54 degree

Now,

Since the acute angles are x and 2x / 3

They are 54 degree and 2 x 54 / 3 =  36 degree