The measure of two complementary angles have a ratio of 3:7. Set up and solve an equation to determine the measurements of the two angles.
Question
Answer:
Answer: Angle 1 = 27Angle 1 = 63
Remember: complementary angles always add up to 90 degrees.
Set up your equation.
3x + 7x = 90 Combine like terms
10x = 90 Divide by 10 to both sides
x = 9 Answer!
Substitute in (9) for x to find the measurements of the two angles.
Angle 1: 3x
3(9)
27
Angle 2: 7x
7(9)
63
You can also check your work.
27 + 63 = 90
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