If \(\frac{7\pi}{18}\) and (x) are supplementary angles then what is (x)?
Answer and explanation
Correct answer: \(\frac{11\pi}{18}\)
The sum of supplementary angles is \(\pi\) radians. Therefore, \(x=\pi-\frac{7\pi}{18}=\frac{18\pi-7\pi}{18}=\frac{11\pi}{18}\). Hence, option C is correct. If \(\frac{13\pi}{18}\) were chosen, the sum would be \(\frac{20\pi}{18}\), not \(\pi\). Exam tip: In radians, subtract the given angle from \(\pi\) to find its supplementary angle.
Frequently asked questions
What is the correct answer to this question?
\(\frac{11\pi}{18}\)
Why is this the correct answer?
The sum of supplementary angles is \(\pi\) radians. Therefore, \(x=\pi-\frac{7\pi}{18}=\frac{18\pi-7\pi}{18}=\frac{11\pi}{18}\). Hence, option C is correct. If \(\frac{13\pi}{18}\) were chosen, the sum would be \(\frac{20\pi}{18}\), not \(\pi\). Exam tip: In radians, subtract the given angle from \(\pi\) to find its supplementary angle.
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Trigonometric Functions. Topic: Angles.
