In a right angled triangle, one of tge acute angle exceeds the other by 20 degree .find the measure of both tge acute angles in the right angled triangle.
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Let one acute angle be x
Another acute angle = x+ 20
According to question :-
90 + x + x +20 = 180 (Angle sum property)
2x + 110 = 180
2x = 180 - 110
2x = 70
x = 70 ÷ 2
x = 35
x + 20 = 35 +20
= 55
So, two acute angles are 35° and 55°.
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