examine the diagram to the right then use the information provided in the diagram to find the measures of angles x , y, z. For each angle, name the angle relationship that help justify your conclusion.

The letters are virtually impossible to read. I'll do my best, but recognize it is why you are not getting answers. I take y to be next to the 100 degree angle and part of the triangle.

I take x to be to the left of y. It is equal to the 28o angle because of the tranversal properties.

Finally z is the exterior angle of the triangle and as such has properties of z = y + 28 where y and 28 are remote interior angles to the triangle.

so x = 28 because of the transversal cutting the two parallel lines. They are equal by remote exterior angles of parallel lines.

y = 180 - 100 - 28 = 52

Finally z = 52 + 28 = 80 degrees because x and y add to 80 degrees.

If the assumptions are incorrect, could I trouble you to repost the diagram or correct the errors I have made.

examine the diagram to the right then use the information provided in the diagram to find the measures of angles x , y, z. For each angle, name the angle relationship that help justify your conclusion.​

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examine the diagram to the right then use the information provided in the diagram to find the measures of angles x , y, z. For each angle, name the angle relationship that help justify your conclusion.