An angle measures 56° more than the measure of its supplementary angle. What is the measure of each angle?

62,118

Step-by-step explanation:

Let one angle = x

So, other angle = x +56

x +x +56 = 180       {Combine like terms}

2x  + 5 6 = 180      {Subtract 56 form both sides}

        2x = 180 - 56

        2x = 124     {Divide both sides by 2}

        x   = 124/2

        x = 62

Other angle = 62 + 56  = 118

-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