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An angle which is equal to its complement is:

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45º

95º

30º

None of these

answer is A.

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Detailed Solution

We have to find an angle which is equal to its complement.
We know that the complementary angles are the angles whose sum is 90°.
Let the angle be x° and its complementary is 90°-x.
Now, equating the two angles,

x ° = 90 ° - x °

\Rightarrow 2 x ° = 90 °

\Rightarrow x ° = \frac{90 °}{2}

\Rightarrow x ° = 45 °

Since, 42° is less than 45°.
Therefore, 45° is the angle whose complement is equal.
Hence, option 1 is correct.

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