Question

Find the acute angles of a right angled triangle such that larger acute angle is 4 times the smaller acute angle
plz detailed answer​

Answer 1

Answer:

18 - Smaller angle, 72 - Bigger angle

Step-by-step explanation:

Let's take smaller angle as x.

The bigger angle will be 4x according to the first statement.

Now, x + 4x + 90 = 180 degree    (By The Angle Sum Property of a Triangle)

         x + 4x = 180 - 90 degree

         5x      =  90 degree

          x        = 90/5 degree

Therefore, x = 18 degree

x is the smaller angle = 18 degree

Now we know that the Larger angle = 4x = 4 x 18 = 72 degree

To check whether our answer is correct,

x + 4x + 90 = 180

18 + 72 + 90 = 180

Thus, the two acute angles of a right angled triangle such that larger acute angle is 4 times the smaller acute angle are 18 and 72 degree.

Hope its clear. Please mark me the brainliest. Thank you.

Answer 2

Answer:

Let us take x to be the numerator and y to be the denominator.

Alright, so y=x+4

Therefore,

x/x+4 is the fraction

so x+11/x+4-1 = 7/3

Now Cross Multiply

3(x+11)= 7(x+3)

3x+33= 7x+21

4x=12

x=3

x+4=y= 7

So the original fraction was 3/7 which then became 14/6