If an angle is \(10^\circ\) more than twice its complement, what is the angle?
If an angle is \(10^\circ\) more than twice its complement, what is the angle?
यदि कोई कोण अपने पूरक कोण से दोगुने से $10^\circ$ अधिक है, तो वह कोण क्या होगा?
Detailed Solution & Logic
Correct Answer:
\(63^\circ, 33^\circ\)
Let the angle be $x^\circ$.
Its complement is $(90 - x)^\circ$.
According to the question, the angle is $10^\circ$ more than twice its complement.
So,
$x = 2(90 - x) + 10$
$x = 180 - 2x + 10$
$x = 190 - 2x$
$3x = 190$
$x = \frac{190}{3} = 63\frac{1}{3}^\circ$
Thus, the angle is approximately $63^\circ$.
Answer = $63^\circ, 33^\circ$.
Similar Practice Questions
If A + B = \(90^\circ\), and sin A =\(\frac{5}{13}\), then what is cos B?
If A + B = \(90^\circ\), and sin A =\(\frac{5}{13}\), then what is cos B?...
What is the radian measure of 270\(^\circ\)?
What is the radian measure of 270\(^\circ\)? 270\(^\circ\) का रेडियन माप क्या हैं?
Which of the following is true for all acute angles A ?
Which of the following is true for all acute angles A ? निम्नलिखित में से...
A tangent is drawn to a circle with a radius of 5 cm. At the point of tangency, what is the angle between the tangent and the radius?
A tangent is drawn to a circle with a radius of 5 cm. At the...
If sin A = \frac{3}{5} and A lies in the quadrant, what is the value of Tan A?
If sin A = \frac{3}{5} and A lies in the quadrant, what is the value...
If an angle is \(10^\circ\) more than twice its complement, what is the angle?
If an angle is \(10^\circ\) more than twice its complement, what is the angle? अगर...
Convert \(3^\circ\) to radians
Convert \(3^\circ\) to radians \(3^\circ\) को रेडियन में बदलें.