Question

in a right angled triangle 2 acute angles are in the ratio of 7:11.find the measure of the acute angles..........if you know accurately alone answer

Answer 1

As the sum of angles of a triangle is 180

Then, let the acute angles be 11x and 7x

180=90+11x+7x

180-90=18x

90=18x

90/18 =x

5=x

Then acute angles are:-

7*5=35°

11*5=55°

Answer 2

Right angled triangle has 1 angle = 90°
And Ratio of angles is given , i.e.,7:11
Let the acute angles be 7x &11x
In a triangle,
Sum of all angles = 180° (Angle Sum Property)
⇒90°+7x + 11x = 180°
18x=90
x= 90/18° = 5

∴Angles = 7x 
               =7 * 5 =35°
and , 2nd angle,
11*5 = 55°