Question

What is the measure of angle z in this figure?

Enter your answer in the box.
z =

2.For the 2nd picture
Lines a and b are parallel.



What is the measure of angle m?



Enter your answer in the box.
m =
\degree

3.What is the measure of angle x?



Enter your answer in the box.
m∠x=
°

Answer 1

1. I believe that for the first image angle z=56

2. I believe that m in the second equation is m=55

3. The angle in the third image of the triangle is x= 47

Explanation:

1. For the first image, you can see that the shown angle is 124, y appears to have an angle equal to 124 as well. So both angles =248, there has to be a total of 360 degrees so that means that angles x and z are 56 because 56x2 is 112 and 112+248=360. Therefore angle z appears to be 56.

2. For the second image, I had the same question on my test(I attached an image below to prove that I know the right answer), the answer was

3. In the third image a triangle is shown. To calculate the triangle all angles must add up to 180, therefore we can find out the value of angle x by using the equation, 180-(102+31) basically 180-133=47 therefore x=47

Answer 2

Angle z makes a 180° angle when added to the angle of 124° in the first image, because they are on the same side of a straight line. Just subtract 124 from 180. =56

For the second picture, angle m will be the same as angle z because of the properties involved. Find angle z using the same thought process as above, and m will equal it. =55

The sum of the angles in a triangle is 180°, that's just a property they have. You add the two angles you know, subtract them from 180, and you have x. =47