If one angle is twice the other and they are complementary, find the angles
If one angle is twice the other and they are complementary, find the angles
यदि एक कोण दूसरे कोण का दोगुना है और दोनों पूरक कोण हैं, तो उन कोणों का मान ज्ञात कीजिए।
Detailed Solution & Logic
Correct Answer:
\(30^\circ, 60^\circ\)
Solution:
Let the smaller angle be x.
Then the other angle will be 2x.
Since the angles are complementary, their sum is $90^\circ$.
So,
$x + 2x = 90^\circ$
$3x = 90^\circ$
$x = 30^\circ$
Therefore, the other angle is $2x = 60^\circ$.
Answer: The angles are $30^\circ$ and $60^\circ$.
Similar Practice Questions
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...
Chord AB and Chord CD are equal and subtend angles of \(50^\circ\) and x\(^\circ\) at the center respectively. Find x .
Chord AB and Chord CD are equal and subtend angles of \(50^\circ\) and x\(^\circ\) at...
If one angle is twice the other and they are complementary, find the angles
If one angle is twice the other and they are complementary, find the angles अगर...
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...
If an angle is 3 times its complement, what is the angle?
If an angle is 3 times its complement, what is the angle? यदि कोई कोण...
sec 2 A +cosec 2 A=13
If $ sec^2A + cosec^2A = 13,$ and A is an acute angle, then find...
If tan $(90^\circ – A)= \sqrt 3$ , What is sin A ?
If tan $(90^\circ – A)= \surd 3$ , What is sin A ? यदि $tan(90^\circ...