What is the measure of Zx?Angles are not necessarily drawn to scale. х41°- Zo2=0

Notice that angle of measure x degrees PLUS the angle of measure 41 degrees add up to give a RIGHT angle (90 degrees) as marked with the identifiable little square by the vertex.

Then we can write the equation:

x + 41 = 90

and solve for x by subtracting 41 from both sides

x = 90 - 41 = 49 degrees.

In the case of the second problem, we are seeing two "supplementary angles" whose addition should give 180 degrees (a straight line)

So we write the equation:

x + 133 = 180

and solve for x by subtracting 133 from both sides:

x = 180 - 133 = 47 degrees.

"image"

step-by-step explanation:

in most of these problems, the notation is that the point with a "prime" is the image of the point without. that is, b' is the image of b.

here, there is no dilation or reflection. there is simply translation (with no direction shown). which figure you call the "preimage" and which one you call the "image" is up to you. as a matter of convention, the naming is as described above.