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Geometry Question:
What is the value of each variable? Please show all work on how you got your answers

a = 35°

b = 14

c = 5

Step-by-step explanation:

A translation maps the blue triangle to the red triangle. So, the red triangle would be the same as the blue triangle. It is just shifted right-left and up-down.

We know the sum of 3 angles in a triangle is 180 degrees. So, we can say:

We can interchange all the side and angle values in both blue and red triangle.

Now, we solve for a:

Now,

the left side of blue triangle is same as left side of red triangle, so we can say:

Now we solve for b:

Then,

The bottom of both the triangles are same, so we can say:

We solve for c:

step-by-step explanation:

subtract 7, so the answer is x < = 3, or c.

b

step-by-step explanation:

b