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tiaragirl923
22.09.2020 •
Mathematics
The measure of the supplement of an angle is seven times as large as the measure of its complement find the measure of the angle, supplement, and complement.
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Ответ:
original angle = 75°
Its supplement 105°
Its complement = 15°
Step-by-step explanation:
We know that,
Sum of supplementary angles is 180 degrees.Sum of complementary angles is 90 degrees.Let x be the original angle , then its supplement = 180° - x
its complement = 90° - x
As per given,
180° - x = 7(90° - x)
⇒ 180° - x = 630° - 7x
⇒ 7x- x = 630° -180°
⇒ 6 x = 450°
⇒ x = 75° [divide both sides by 6]
So, original angle = 75°
Its supplement = 180° - 75° = 105°
Its complement = 90° -75° = 15°
Hence, original angle = 75°
Its supplement 105°
Its complement = 15°
Ответ: