An angle is greater then 25° than its complement. What is its complementary angle? with full explanation
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Answered by
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Answer:
Let the smaller angle be y.
The larger angle will be y + 25.
y + y + 25 = 2y + 25
2y + 25 = 90 degrees (sum of two complementary angles)
2y = 90 - 25 = 65
y = 65/2 = 32.5 degrees
Smaller angle: y = 32.5 degrees
Larger angle: y + 25 = 32.5 + 25 = 57.5 degrees.
Its measurement (that is, the smaller angle) is 32.5 degrees.
Check:
Sum = 32.5 degrees + 57.5 degrees = 90 degrees (sum of two complementary angles).
Difference = 57.5 degrees - 32.5 degrees = 25 degrees.
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