Three times the measure of the supplement of an angle is 108 degrees more than 9 times the measure of the angle's complement. Fi
nd the measure of the angle, it's complement and its supplement.
1 answer:
Answer:
Step-by-step explanation:
- Angle = x
- Supplement = s
- Complement = c
<u>Given</u>
<u>We know that:</u>
- s = 180° - x, as per definition of supplementary angles
- c = 90° - x, as per definition of complementary angles
<u>Substituting in the equation above and solving for x:</u>
- 3(180-x) = 9(90 -x) + 108
- 540 - 3x = 810 - 9x + 108
- 9x - 3x = 918 - 540
- 6x = 378
- x = 378/6
- x = 63°
- c = 90° - 63° = 27°
- s = 180° - 63° = 117°
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