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just olya [345]
3 years ago
12

two complementary angles have a difference of 36°. Find the measure of each angle. (Complementary angles are angles that add up

to 90°) Show ur work
Mathematics
2 answers:
evablogger [386]3 years ago
6 0

Answer:

27 and 63

Step-by-step explanation:

x - y = 36

x + y = 90

add the equations together

2x = 126

x = 63

substitute x for x in the first equation

63 - y = 36

y = 27

ElenaW [278]3 years ago
4 0

Answer:

27°,63°

Step-by-step explanation:

Let the two angles be a and b.

They are complementary, meaning they add up to 90. Thus:

a+b=90

And we are told their difference is 36. Therefore:

a-b=36

Solve for the system of equations. Add b to both sides in the second equation:

a=b+36

Substitute this into the first:

(b+36)+b=90

Combine like terms;

2b+36=90

Subtract 36:

2b=54

Divide by 2:

b=27

So, b is 27 degrees.

Use the second equation again:

a-b=36

Now that we know b is 27, substitute:

a-27=36

Add 27 to both sides:

a=63

So, a is 63 degrees.

And we're done :)

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