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Find which of the following pairs represents complementary angles.

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130^{0}, 50^{0}

35^{0}, 55^{0}

25^{0}, 75^{0}

27^{0}, 53^{0}

answer is B.

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Detailed Solution

It is given to find a pair of complementary angles.
We know, two angles whose sum is equal to

90^{o}

are known as complementary angles.
Consider, the angles,

130^{o}

and

50^{o}

.
Their sum

= 130^{o} + 50^{o}

= 180^{o} \neq 90^{o}

So, the angles are not complementary.
Consider, the angles,

35^{o}

and

55^{o}

.
Their sum

= 35^{o} + 55^{o}

= 90^{o}

So, the angles are complementary.
Consider, the angles,

25^{o}

and

75^{o}

.
Their sum

= 25^{o} + 75^{o} = 100^{o} \neq 90^{o}

= 100^{o} \neq 90^{o}

So, the angles are not complementary.
Consider, the angles,

27^{o}

and

53^{o}

.
Their sum

= 27^{o} + 53^{o} = 80^{o} \neq 90^{o}

= 80^{o} \neq 90^{o}

So, the angles are not complementary.
Hence, the correct option is 2.

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