An angle is 10° more than the measure of its complement. Find the number of degrees in each angle. The angles measure degrees.
1 answer:
Let the angle be x. The complement of this angle would then be 90-x.
We are told that x is 10 more than 90-x, or x is 90-x+10, or x= 100 - x.
If x = 100 - x, then 2x = 100, and x = 50.
Check: If one angle is 50 degrees, the complement is 90-50, or 40 degrees.
Are 50 and 40 complementary? Yes. They add up to 90. Is 50 10 more than 40? Yes.
The measurements of these two angles are 40 and 50 degrees.
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