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प्रश्न
The difference of two complementary angles is 30°. Then, the angles are ______.
विकल्प
60°, 30°
70°, 40°
20°, 50°
105°, 75°
उत्तर
The difference of two complementary angles is 30°. Then, the angles are 60°, 30°.
Explanation:
Let one of the angles be x.
Since, the difference between the two angles is 30°, then the other angle will be (x – 30°).
Also, the two angles are complementary, so their sum is equal to 90°.
∴ x + (x – 30°) = 90°
⇒ x + x – 30° = 90°
⇒ 2x = 90° + 30°
⇒ 2x = 120°
⇒ x = `120^circ/2`
⇒ x = 60°
∴ Required angles are 60° and (60° – 30°), i.e. 60°and 30°.
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