Question

the acute angles of a triangle are In the ratio 2:1. find each of these angles​

Answer 1

Answer:

30°,60°.....

Step-by-step explanation:

Now ,According to The Angle Sum Property. => x =30 . Therefore ,Now angles are 30° , 60° . If The acute angle of a right triangle are in the ratio 2: 1 , Then the acute angles are 30° , 60° .

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Answer 2

✯ Solution :

Let the angles be 2x and x.

We know that,

The sum of the angles of any triangle is 180°

So,

∠A + ∠B + ∠C = 180°

(Angle sum property)

⇒ 2x + x + 90° = 180°

⇒ 3x = 180° - 90°

⇒ 3x = 90°

⇒ x = 90/3

⇒ x = 30°

So, the angles measure of ∠A = 2x

→ ∠A = 2(30°)

→ ∠A = 60°

and, → ∠B = x

→ ∠B = 30°

✯ Verification :

→ ∠A + ∠B + ∠C = 180°

→ 2x + x + 90° = 180°

→ 2(30°) + 30° + 90° = 180°

→ 60° + 30° + 90° = 180°

→ 180° = 180°

.°. LHS = RHS

Hence, verified.

Therefore, the measurement of other two angles are 60° and 30°.