PLEASE HELP QUICKLY AND PLEASE SHOW YOUR WORK FOR ALL THREE QUESTIONS Find the value of x in each case:

1.

Notice that 3x is equal to angle FIK.

Also, 3x is equal to angle GIK (which is equal to x) +2x. Therefore, angle FIJ(which is equal to 2x) is supplementary to 2x. Knowing all of that, we can set up an equation, where angle FIJ and FIG add up to 180:

2x+2x=180

4x=180

x=45

2.

Notice that angle NQU is equal to angle QNM, which means that angle QNM is x. Therefore, we can set up an equation:

42+x+x=180

2x=138

x=69(nice)

3.

Notice that ECD is vertical to ACB, which means that ACB is 3x.

To find out ACH, all we have to do is subtract x from 3x, and we get 2x.

Therefore, we can set up an equation:

2x+2x+100=180

4x=80

x=20

according to the triangle sum theorem, all the angles in a triangle must add up to 180 degrees. if we know one angle is already 90, we do 180-90=90. the other 2 angles must add up to 90, exactly.

step-by-step explanation: