angle M and angle N are complementary. The measure of angle M is 38 degrees less than the measure of angle N Find the measure of
each angle.
2 answers:
Answer:
M = 26 degrees, N = 64 degrees
Step-by-step explanation:
When 2 angles are <em>complementary</em>, it means they add up to 90 degrees. We can set up a system of equations to represent the situation.
M is measure of angle M
N is measure of angle N
M + N = 90 degrees
M = N - 38 (measure of angle M is 38 degrees less than measure of angle N)
We can then use the second equation to substitute in M in the first equation with N - 38
N - 38 + N = 90
2N - 38 = 90
2N = 128
N = 64 degrees
We plug this value back into the first equation to find M
M + 64 = 90
M = 26 degrees
Answer:
26, 64
Step-by-step explanation:
M=N-38
M+N=90
M=26
N=64
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