If two angles are complementary and one angle is 10 degrees less than the other, what are the measures of the two angles?
Practice Questions
1 question
Q1
If two angles are complementary and one angle is 10 degrees less than the other, what are the measures of the two angles?
40 and 50 degrees
45 and 45 degrees
35 and 55 degrees
30 and 60 degrees
Let the two angles be x and x - 10. Since they are complementary, x + (x - 10) = 90. Solving gives x = 50 degrees, and the other angle is 40 degrees.
Questions & Step-by-step Solutions
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Q
Q: If two angles are complementary and one angle is 10 degrees less than the other, what are the measures of the two angles?
Solution: Let the two angles be x and x - 10. Since they are complementary, x + (x - 10) = 90. Solving gives x = 50 degrees, and the other angle is 40 degrees.