Question

An angle is two third of it's compliment.find it's measure.
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Answer 1

Answer:

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Answer 2

Answer:

36°

Step-by-step explanation:

Given that: 1 angle = 2/3rd of it's complement

If x is one angle, then its complementary angle would be (90 - x).

Therefore, According to the question:

x = 2/3 × (90 - x)

x = 2 × 90 / 3 - 2x/3

x = 60 - 2x/3

x + 2x/3 = 60

Take LCM of 2x/3 and x, we get:

3x/3 + 2x/3 = 60

5x / 3 = 60

x = 60 ÷ 5/3

x = 60 × 3/ 5

x = 180/5

x = 36

Therefore the angle = x = 36°

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