An angle 'x' is 14 ∘ more than its complement. Find the angle. Options: A . &nbsp38∘ B . &nbsp52∘ C . &nbsp50∘ D . &nbsp104∘

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 ang

Question

An angle 'x' is 14

^{\circ}

more than its complement. Find the angle.

Options:

A . 38∘

B . 52∘

C . 50∘

D . 104∘

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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