Find m∠CXY
Please help with this, this is for my test review!!!

137°

Step-by-step explanation:

All angles in a triangle add up to 180° always.

Now imagine the two smaller shapes as a bigger triangle, CED.  The measure of angle CED is 89°, and CDE is 48°.  Do the math, and angle DCE is 43°.

But notice how the corresponding sides of the two smaller shapes are congruent.  (CX=XE, and DY=YE)  Meaning, the measure of angle C is equal to the measure of angle YXE.

We're almost there.  CXY (what we're looking for) and YXE are supplementary angles, meaning the angle measures add up to 180.  180-43 = 137°.

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1