Math, asked by arushimandal092, 4 months ago

The acute angles of a right triangle are in the ratio 2 : 3 . Find the angles of the  triangle​

Answers

Answered by s18886adrishti08150
8

Answer:

90.

Step-by-step explanation:

It is given that the two acute angles are in the ratio 2:3. Let the two acute angles be 2x and 3x respectively. As we know, the third angle of the triangle is a right angle. ... Thus, the sum of the two acute angles and the right angle will be equal to 180

Answered by SamVarghese
2

Sum of the angles of a triangle = 180⁰

one of the angles = 90⁰ (since it is right angled triangle)

2x + 3x + 90⁰ = 180⁰

5x = 180⁰ - 90⁰

5x = 90⁰

x = 90/5

x= 18⁰

2x = 2 × 18

= 36⁰

3x = 3 × 18

= 54⁰

The angles are 36⁰ and 54⁰

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