What is the measure of an angle, if three is subtracted from twice the supplement and result is 297 degrees?
- 45°
- 30°
- 90°
- None of these
Explanation
Let's denote the angle as x. The supplement of x is 180 - x.
Given "three is subtracted from twice the supplement" equals 297:
2(180 - x) - 3 = 297
Expanding the equation:
360 - 2x - 3 = 297
357 - 2x = 297
Solving for x:
-2x = 297 - 357
-2x = -60
x = 30
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