(b) A triangle has one acute angle as the complement of the other. Find the third angle.
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Answered by
3
Answer: 90°
Step-by-step explanation:
We know that the sum of two complementary angles = 90°
Now,
let the two complementary angles be x and y and the third angle be zero.
therefore, x + y = 90°...........(i)
According to angle sum property of a triangle,
the sum of all angles of a triangle = 180°
therefore,
x+y+z = 180
or 90 + z = 180 [putting the value of x+y from
equation (i) ]
or z = 180-90
or z = 90
Therefore the third angle is 90°.
Hope it helps......thank you
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Answer:
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