Question

in a right angle triangle one of the acute angles exceeds The Other by 10 degrees find the measure of the acute angles in the right angled triangle by using two variables
​

Answer 1

Your Answer:

Given:-

• One angle is equal to 90 degrees
• Other Acute angle is 10 degree bigger than other angle.

To find:-

• The angles of Triangle

Solution:-

Let the acute angle be x, so the other angle will be (x+10)

Now ATQ,

90 + x + (x+10) = 180

=> 100 + 2x = 180

=> 2x = 80

=> x = 40

So, if x = 40 degree so other angle will be (x+10) = 50 degree

Answer 2

Answer:Let the 90° angle be C , then the other two sides be A and B

First: sum of all the angles in a triangle is 180°

The angle C = 90°

Then the other two angles be 45° and 45°.

But one of the acute angle exceeds other by 10°.

That is one of the angle is greater than other by 10°

Hence the answer is either A=55°, B=35° or A=35° , B=55°

NOTE: You can also use other variables like x,y etc

90°+35°+55°=180°

THANK YOU

I HOPE IT HELPS