MCQ
Mark against the correct answer in the following: Two complementary angles differ by $14^\circ .$ The larger angle is:
- A$50^\circ $
- ✓$52^\circ $
- C$54^\circ $
- D$56^\circ $
✓
Answer
Correct option: B.
$52^\circ $
Let the two complementary angles be $x^\circ $ and $(90 - x)^\circ .$
According to the equation, we have:
$x - (90 - x) = 14$
$\Rightarrow 2x = 104$
$\Rightarrow x = 52$
$(90^\circ - x)^\circ = 90^\circ - 52^\circ = 38^\circ $
The larger angle is $52^\circ .$
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