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Question: Answered & Verified by Expert
A is a certain positive acute angle which satisfies the following equation:
Number of degrees in A + Number of radians in $\mathrm{A}=(180+\pi) / 3$
What is the angle A?
MathematicsTrigonometric Ratios & IdentitiesNDANDA 2006 (Phase 2)
Options:
  • A $20^{\circ}$
  • B $40^{\circ}$
  • C $60^{\circ}$
  • D $80^{\circ}$
Solution:
2492 Upvotes Verified Answer
The correct answer is: $60^{\circ}$
Given that number of degrees in A+ Number of radians
in $\mathrm{A}=\frac{180^{\circ}+\pi}{3}=\frac{180^{\circ}}{3}+\frac{\pi}{3}=60^{\circ}+\frac{\pi}{3}$
$\Rightarrow$ Angle $\mathrm{A}=60^{\circ}$

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