Question:
If an angle is 20° less than three times its complement, find the angle.
यदि कोई कोण अपने पूरक कोण के तीन गुने से 20° कम है, तो कोण ज्ञात कीजिए।
Options:
- a) 65.5°
- b) 55°
- c) 70°
- d) 62.5°
- a) 65.5°
- b) 55°
- c) 70°
- d) 62.5°
correct answer : d)
Explanation:
Let the angle be x. Its complement is (90° – x).
According to the question:
x = 3 * (90° – x) – 20°
x = 270° – 3x – 20°
x = 250° – 3x
4x = 250° => x = 62.5°.
मान लीजिए कोण x है। इसका पूरक कोण (90° – x) है।
प्रश्न के अनुसार:
x = 3 * (90° – x) – 20°
x = 270° – 3x – 20°
x = 250° – 3x
4x = 250° => x = 62.5°.