SOLUTION: Angles A and B are complementary. If m < A is 5 times the value of m

SOLUTION: Angles A and B are complementary. If m < A is 5 times the value of m < B, find angle b

Question 739561: Angles A and B are complementary. If m < A is 5 times the value of m < B, find angle b
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Let

x = measure of angle A

y = measure of angle B

"Angles A and B are complementary" ---> x+y = 90

-----------------------------

"m < A is 5 times the value of m < B" ---> x = 5y

----------------------------

x+y = 90

5y+y = 90 ... replace x with 5y (since x = 5y, they are the same)

6y = 90

y = 90/6

y = 15

x = 5y

x = 5*15

x = 75

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Summary:

We found that x = 75 and y = 15

The measure of angle A is 75 degrees

The measure of angle B is 15 degrees

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