Question

in a right angled triangle the acute angles are in the ratio 2:7 then the smallest angle of the triangle is ________​
can anybody help me with this

Answer 1

I have provided the solution in the picture

thanks

Answer 2

Answer:

20°

Step-by-step explanation:

One angle will be 90 degree as it is a right-angled triangle

And sum of all angles of a triangle is 180 degree.

So, the sum of remaining 2 angles will be 90 degree (180-90 = 90)

So, let the remaining angles be 2x and 7x.

2x + 7x= 90

9x=90

x = 90/9

x=10

So the angles will be

2x=2*10 = 20 degree

7x=7*10 = 70 degree

So, the smallest angle of triangle will be 20°

Hope it helps

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