SOLUTION: In 7-10, < A and < B are complementary. Find the measure of each angle if the measure of the two angles are represented by the given expressions. Solve the problem algebraically us

Question 504010: In 7-10, < A and < B are complementary. Find the measure of each angle if the measure of the two angles are represented by the given expressions. Solve the problem algebraically using an equation
7. m < a = x,m < b = 5x
8. m < a = x,m < b = x+20
9. m < a = x,m < b = x-40
10. m < a = x,m < b = 2y+30
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
I'll do #7 to start you off.

Since "< A and < B are complementary", we know that m < a + m < b = 90

But since m < a = x and m < b = 5x, we know that

x + 5x = 90

Now solve for x

x + 5x = 90

6x = 90

x = 90/6

x = 15

So m < a = x = 15 degrees and m < b = 5x = 5(15) = 75 degrees
RELATED QUESTIONS
Find the measure of two complementary angles if their measures are represented by 3x-10... (answered by cleomenius)

angle A and angle B are complementary. find the measure of each angle if their measures... (answered by scott8148)

two angles are complementary to each other.The measure of angle A=3x+30 and the measure... (answered by ewatrrr)

two angles are complementary the angles are represented by 6x-3 and 12 x + 20 find the... (answered by MathLover1)

The Measure of two complementary angles are consecutive even integers. Find the measure... (answered by Alan3354)

Two angles are complementary if the sum of their measures is 90 degress. If angle A and B (answered by nerdybill)

the measure of two complementary angles are represented by (3x+15) and (2x-10) what is... (answered by stanbon)

The measure of ∠A is 20� greater than the measure of ∠B. The two angles are... (answered by Alan3354)

Angles A and B are complementary angles. If the measure of angle A is 32 degrees less... (answered by ewatrrr)