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The difference between the size of the two acute angles of a right-angled triangle is 12°. Find the size of these two acute angles in degrees.
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π radians =180∘
9π radian =π180×9π=20∘
Let the two acute angles of the right-angled triangle be x and y(x>y)
Then x+y=90∘ (i)
and x−y=20∘ (ii)
Solving (i) and (ii) w
2x=110∘
⇒ x=55∘
55∘+y=90∘⇒y=35∘
Hence, two angles are 55∘ and 35∘ respectively.
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