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Q.

An angle is $18^{\circ}$ less than its complementary angle. The measure of this angle is

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a

36^{\circ}

b

48^{\circ}

c

83^{\circ}

d

81^{\circ}

answer is A.

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Detailed Solution

Given, an angle is

18^{\circ}

less than its complementary angle.
Let, the angle be x.
Then, the complement will be

(x + 18^{\circ})

.
We know that the sum of the complementary angles is 90°.

x + (x + 18^{\circ}) = 90^{\circ}

⇒

2 x = 90^{\circ} - 18^{\circ}

⇒

2 x = 72^{\circ}

⇒

x = 36^{\circ}

Hence, the correct option is 1.

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An angle is 18∘less than its complementary angle. The measure of this angle is