Question

The acute angles of a right angled triangle are in the ratio 5: 4. Find the angles of
the triangle.​

Answer 1

Answer:

Sum of all angles of a triangle=180°

One angle=90°(given)

Therefore,other 2 angles=

(5/9)×90=50°

(4/9)×90°=40°

Answer 2

$\Large\sf{» Required \: Answer :}$

50°, 40° & 90°

Step-by-step explanation:

Let 5x and 4x be the two acute angles.

Given,

• One of the angle is 90° (right angle)

Here,

5x + 4x = 90° [°.° Acute angle = 90° ]

⇒9x = 90°

⇒x = 90°/9

⇒x = 10°

Finding the two acute angles :

• 5x = 5 × 10° = 50°
• 4x = 4 × 10° = 40°

Checking :

50° + 40° + 90°= 180° [°.° Angle sum of a ∆ ]

⇒90° + 90° = 180°

⇒180° = 180°

.°. LHS = RHS

Hence, the angles of the ∆ are 50°, 40° & 90°.