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.

26, 64

Step-by-step explanation:

M=N-38

M+N=90

M=26

N=64

M = 26 degrees, N = 64 degrees

Step-by-step explanation:

When 2 angles are complementary, 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

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