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प्रश्न
If the supplement of an angle is three times its complement, find the angle.
उत्तर
Given that,
Supplementary of an angle = 3 times its complementary angle.
The angles measured will be x°
Supplementary angle of x will be 180° - x° and
The complementary angle of x will be (90° - x°).
It’s given that
Supplementary of angle = 3 times its complementary angle
180° - x° = 3(90° - x°)
⇒180° - x° = 270° - 3x°
⇒ 3x° - x° = 270° -180°
⇒ 2x° = 90°
⇒ x = 45°
∴ Angle measured is 45°.
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