One of the acute angles of a right triangle is 36° find the other
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One of the acute angles of a right triangle is 36° find the other
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Answer:
Let the three angles be ∠A,∠B,∠C
And
∠A=36
o
∠B=90
o
[∵ from the question the given triangle is a right angled triangle. In this one of the angle is equal to 90
o
]
∠C=x
Now
∠A+∠B+∠C=180
o
(sum of the angles of a triangle is 180
o
)
36
o
+90
o
+∠C=180
o
126
o
+∠C=180
o
∠C=180
o
−126
o
∠C=54
o
Hence the other angle is 54
o
The sum of the internal angles is 180
So,
90 + 36 + x = 180
126 + x = 180
x = 180 - 126
X = 54
Hence the other angle is 54 degrees
Hope it helps you☺️