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Two angles are complementary. The larger angle is 74 degrees larger than the smaller angle. Find the measure of both angles and separate your answers with a coma

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solvingyourproblems

Answer:

x = 82, y = 8

Step-by-step explanation:

1. What does complementary mean? - The angles must add up to 90 degrees.

2. Form your equation: x + y = 90°

3. Let's say x is the larger angle and y is the smaller angle. So, form another equation: x = 74 + y

4. Put the two equations next to each other:

x + y = 90

x = 74 + y

5. We know what x is equal to, so plug it in!

74 + y + y = 90

74 + 2y = 90

-74           -74

2y = 16

y = 8

6. Now we know y = 8! So let's plug it back in!

x + 8 = 90

  -8      -8

x = 82

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