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