Question

the acute angles of the right triangle are in the ratio 2:7 find all the angles of the triangle​

Answer 1

Answer:

90,20,70

Step-by-step explanation:

Angle 1=90. (right angled)

Ratio of the other 2 angles=2:7

90+2x+7x=180

9x=180-90=90

x=90/9=10

Angle 2 =2x=2*10=20

Angle 3=7x=7*10

=70

Answer 2

Answer:

All angles are, 20°, 70° and 90°

Step-by-step explanation:

The ratio = 2:7, let the common factor in the ratio be 'x'

Therefore, the acute angles are, 2x and 7x

All angles, 2x, 7x and 90°

Now,

Sum of angles of a triangle = 180. So,

90 + 2x + 7x = 180

90 + 9x = 180

9x = 180 - 90

9x = 90

Therefore, x = 90/9 = 10

Now, all the angles are:-

2x = 2 x 10 = 20°

7x = 7 x 10 = 70°

And, 90° (as this is a right angled triangle)

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Hope you will find this helpful!  :)