The measurement of the complement of an angle is 39 degrees more than the angle. Find the measurement of the angle and it complement.
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Since the solution by Alan is INCORRECT, I came to provide a correct one for you . . .
Let A be the angle you are looking for.
Then the complement is 90 - A degrees.
The condition says that the complement of the angle is 39 degrees more tan the angle.
It means
90 - A = A + 39.
90 - 39 = A + A
2A = 51 ====> A = 51/2 = 25.5 degrees = 25 degrees and 30 minutes.
Solved, explained and completed.
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To learn the subject, look into the lessons
- Angles basics
- Vertical angles
- HOW TO solve problems on supplementary, complementary or vertical angles - Examples
in this site.