In a right-angled triangle the difference between two acute angles is 2π/5. Express these two angles in terms of radian and degree.
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Step-by-step explanation:
Let the acute angles be x^c and y^c. (According to the condition of the problem:
x + y = π/2 and x - y = 2π/5
Solving these two equations we get;
x = 1/2 (π/2 + 2π/5)
x = 1/2 (5π + 4π/10)
x = 1/2 (9π/10)
x = 9π/20
and y = 1/2 (π/2 - 2π/5)
y = 1/2 (5π - 4π/10)
y = 1/2 (π/10)
y = π/20
Again, x = (9 × 180°)/20 = 81°
y = 180°/20 = 9°
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Answered by
7
Step-by-step explanation:
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