in a right triangle, the 2 smaller angle are in the ratio 1:4 compute these angle?
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✔️ Question:-
In a right triangle ,the two smaller angles are in the ratio 1:4 compute these angles?
✔️ Answer:-
In a right angled triangle
angle B = 90
Let angle A = X
and angle C = 4X
So , we know , sum of all angles of a triangle = 180
⇒ 90 +X +4X = 180
⇒90 + 5X = 180
⇒5X = 180 - 90
⇒5X = 90
⇒X = 90÷5
⇒X = 18
So , if X = 18
4X = 4×18 = 72
So the angles are 18 and 72.
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