In the figure lines m and n are parallel to each other. lines p and q are also parallel to each other. what is the value of x?

well the answer is 100

reason : m and n are parellel and 100 degree is already given ... so it its corresponding angle will be 100

p and q are parrelel too...so the corresponding angle 100 degree is the exterior angle of p and q ... so its 100

Hello there,

Well, since lines n and m are parallel to each other and lines p and q are parallel to each other it means that there will be only two values as the answer, meaning the answer either has to be 100 degrees or 80 degrees because a straight line is equal to 180 degrees.

So, using this information you are able to fill in the blanks. The angle next to 100 degrees will be 80 degrees, the angle below will be 100. The angle next to 80 degrees will be 100 and the angle next to that will be 80. Then the angle below will be 100 degrees proving that x will be equal to 100 degrees also due to the angles being alternate exterior angles.

x = 100 degrees

- rose.

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x