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प्रश्न
For an angle x°, find:
(i) the complementary angle
(ii) the supplementary angle
(iii) the value of x° if its supplementary angle is three times its complementary angle.
उत्तर
For an angle x,
(i) Complementary angle of x° = (90° – x)
(ii) Supplementary angle of x° = (180° – x)
(iii) ∵‘Supplementary angle = 3 (complementary anlge)
180° - x = 3 (90°- x)
⇒ 180°- x = 270°- 3x
⇒-x + 3x = 270°- 180°
⇒ 2x = 90°
⇒ x = `90/2` = 45°
∴ x = 45°
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