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 $60^\circ$.
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