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Well what do complementary angles add up to.
90 degrees
Okay so you have 2 angles here that both add up to 90 degrees. Now we set up an equation.
What do you think it will be.
6x-10=4x-90
Not quite. If these two angles ADD up to EQUAL 90 degrees, whats the equation?
6x-10-4x=90
Good job. Now we can solve it like a normal algebraic equation. Whats the first step?
combine like terms
Okay not yet. Take another look at your signs in the equation you wrote. It's almost perfect
Add?
Look at your diagram. And relook at the signs on your equation. One of them is off.
You put 6x-10-4x=90 Rethink a sign on one of those terms
6x-10+4x=90
Good job! Now we can combine like terms and solve for x :)
x=50
Not quite. Okay so we have 6x-10+4x=90 First, we have to add ten to the other side to get the x's by themself. So now we have 6x+4x=100. Now we can combine the like terms on x. 6x+4x =10x So now we have 10x=100 which makes the answer what?
x=10
Great job!
It would work just the same way if a question gave you 2 angles that were supplementary. You would take the two angle, add them to equal 180. :)
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