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If the supplement of an angle is $65 °$ , then find its complement.

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No complementary angle

115°

120°

140°

answer is A.

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Detailed Solution

It is given that the supplement of an angle is

65 °

.
Let us assume that the angle

x

is the supplementary angle of

650

.
We know that the supplementary angles are those whose sum is

1800

.
Hence, we can write that,

⇒ ∠ x + 650 = 1800

⇒ ∠ x = 1800 − 650

⇒ ∠ x = 1150

We know that complementary angles are those whose sum is 90°
The original angle is

1150

hence its complementary angle cannot be found.
There is no complementary angle.
Hence, the correct option is 1.

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