1. Find the angle whose supplement is 15° more than twice its complement
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Ok complimentary angles are angles that add up to 90 degrees, like the other two angles in a right-angled triangle. That’s all they are, nothing magic about them.
In this case let the small angle be x degrees
The other angle is 15 more than 2x degrees i.e. it is 2x +15 degrees.
They together add up to 90 degrees
so x + (2x+15) =90
so 3x +15 =90
so 3x = 90 -15 =75
so x =25. Remember x is the smaller angle
so the larger angle is 90-x =65.
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