an angel is 3 time of supplement angel ,find the angel
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Answer:
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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