4. In a right-angled triangle, one of the acute angles is two thirds of the other. Find the angles of the triangle.
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Answer:
54 and 36
Step-by-step explanation:
given one angle is two thirds the other and it is a right triangle so let one angle be x so other will be 2x/3 and other is 90
By angle sum property
sum of all angles=180
90+x+2x/3=180
(3x+2x)/3=180-90
5x/3=90
x=[(90)(3)]/5
x=54
so other will be 2x/3=2(54)/3=36
the angles are 54 and 36
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