An angle and its complement always have a sum of 90degrees. The sum of the measures of an angle and five times its complements is 298degrees. What is the measures of this angle?
2007-01-20 04:19:37 · 6 answers · asked by Anonymous in Education & Reference ➔ Homework Help
38 degrees
2007-01-20 05:12:15 · answer #1 · answered by aSnxbByx113 2 · 0⤊ 0⤋
The angle is "x", so its 90 degree complement would be "90-x".
So, sum of the angle and 5 times its complements equals 298 degrees...so,
x + 5(90-x) = 298
x + 450 - 5x = 298
-4x = -152
x = 38
2007-01-20 04:29:03 · answer #2 · answered by VFBundy 6 · 0⤊ 0⤋
Yes. Just make 2 simultaneous equations from the information and solve them. If the angle and its complement are x and y then the equations are
x + y = 90
x + 5y = 298
Subtracting gives
-4y = -208
y = 52
x + 52 = 90
x = 38
The measured angle is 38° .
2007-01-20 04:37:32 · answer #3 · answered by Anonymous · 0⤊ 0⤋
the measure of the angle is 37
2007-01-20 04:27:22 · answer #4 · answered by lee 2 · 0⤊ 0⤋
37
2007-01-20 04:25:42 · answer #5 · answered by InfiniteShadow 1 · 0⤊ 0⤋
well this isn't too hard. once u get the hang of it youll know how to get 38 degrees as an answer
2007-01-20 05:41:54 · answer #6 · answered by skateKad47 3 · 0⤊ 0⤋