Answer:
<h2>Angle ADF is equal to 52° and angle FDC is equal to 38°.</h2>
Step-by-step explanation:
In the image attaches, you can observe that angles ADF and FDC are complementary angles, because they sum 90°.

And we know that

Replacing these expressions, we have

Then, we replace this value in each expression to find both angles measures.

Therefore, angle ADF is equal to 52° and angle FDC is equal to 38°.
The sum of the measures of the angles is 180 degrees.
75 + -5w + 125 + 4w + 85 = 180
Combine like terms.
285 - w = 180
Subtract 285 from both sides.
-w = -105
Divide both sides by -1.
w = 105
Answer:
It is SAS.
Step-by-step explanation:
Because I just know it is correct.
Answer:
.
Step-by-step explanation:
We have been given a system of equations. We are asked to solve our given system using elimination method.


First of all, we will gather all terms of both equations on left side as shown below:

Adding equation (1) and (2), we will get:

Now, we will add 2 on both sides of our equation as shown below:




Upon substituting
in equation (2), we will get:




Therefore, the solution for our given system of equations would be
.