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Angle Sum Property

Find the angl...

Question

Find the angles of Right angled triangle if the other two angles are in ratio $4 : 5$

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Solution

Let the common factor be $x$
So the angles are $90, 4 x, 5 x$
By angle sum property
$90 + 4 x + 5 x = 180 9 x = 90 x = 10 4 x = 40^{\circ} 5 x = 50^{\circ}$

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