Question

If lines a and b are parallel,and measure of angle J equals x plus twenty degrees and measure of angle K equals three x, what is the value of x?

Two parallel lines, a and b, intersected by transversal, t. The angles where a and t intersect are labeled J, K, L, and M starting in the upper left and moving clockwise. The corresponding angles where b and t intersect are labeled N, P, R, and Q starting in the upper left and moving clockwise.
I will put a picture of the graph

Answer 1

will fan and medal

Answer 2

:p oo

Answer 3

We know that a straight line is 180 degrees so
\[J+k=180\]
Plug in J and K
\[(x+20)+(3x)=180\]
Simplify
\[4x+20=180\]
Subtract 20 on both sides
\[(4x+20)-20=(180)-20\]
to get
\[4x=160\]
Divide by 4 on both sides
\[(4x)/4=(160)/4\]
to get
\[x=40\]
:)