Question

In a right angled triangle, one of the acute angle exceeds the other by ${20}^{\circ }$. Find the measure of both the acute angles in the right angled triangle.

• A. ${35}^{\circ },{55}^{\circ }$
• B. ${35}^{\circ },{25}^{\circ }$
• C. ${35}^{\circ },{35}^{\circ }$
• D. ${35}^{\circ },{75}^{\circ }$

Answer 1

Answer: (A)

${35}^{\circ },{55}^{\circ }$

$Letxoneacuteangle$

$Theotheracuteangle=x+20$

$Sumoftheangles=180$

$x+x+20+90=180$ ....... (As in right angled triangle, one angle is 90)

$2x=70$

$x={35}^{\circ }$

$Otheracuteangle=35+20={55}^{\circ }$