∠A and ∠B are complementary angles. The measure of ∠A is twice the measure of ∠B Write and equation to represent the complementary angle relationship between ∠A and ∠B. Use the equation to find the measure of ∠A and ∠B. Show all of your work.

B=30

A=60

Step-by-step explanation:

A+B=90

A=2B

B+2B=90

3B=90

B=30

A=60

a + b = 90

a = 60 degrees

b = 30 degrees

Step-by-step explanation:

Complementary angles add up to 90 degrees.

a + b = 90 and

a = 2b

So we'll substitute "2b" in for a to solve for a numerical value of b

2b + b = 90

3b = 90

b = 30

Then solve for the numerical value of b

a + b = 90

a + 30 = 90

a = 60

Please let me know if you have questions

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3