n angle is 2/3 of its comlement. find its measure
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1
Answer:
Let the two angles be 'a' and 'b'.
Therefore, a + b = 90° .......(1)
Let b = 2/3 × a
or, b = 2a/3 ......(2)
substituting equation (2) in (1),
a + 2a/3 = 90°
3a + 2a / 3 = 90°
5a /3 = 90°
5a = 90×3
= 270
a = 270/5
= 54
b = 2a/3
Substituting a = 54
b = 2 × 54 / 3
= 108 / 3
= 36
Hence, answer is 36°.
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Answer:
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