An angle 'x' is 14 ∘ more than its complement. Find the angle. Options: A . &nbsp 38 ∘ B . &nbsp 52 ∘ C . &nbsp 50 ∘ D . &nbsp 104 ∘

Answer: Option B : B The sum of two complementary angles is 90 ∘ . If one angle is x, then another angle will be 90 ∘ − x . ⇒ x − ( 90 ∘ − x ) = 14 ∘ ⇒ 2 x = 104 ∘ ⇒ x = 52 ∘

An angle 'x' is 14∘ more than its complement. Find the a

Question

An angle 'x' is 14 $^{\circ}$ more than its complement. Find the angle.

Options:

A . 38

^{\circ}

B . 52

^{\circ}

C . 50

^{\circ}

D . 104

^{\circ}

Answer: Option B
:
B

The sum of two complementary angles is 90 $^{\circ}$ .
If one angle is x, then another angle will be $90^{\circ} - x$ .
$\Rightarrow x - (90^{\circ} - x) = 14^{\circ}$
$\Rightarrow 2 x = 104^{\circ}$
$\Rightarrow x = 52^{\circ}$

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