Question

What is the value of X

Answer 1

x = 22/5; m∠TKW=m∠XHK = 15.2°

Explanation:

Angles TKW and XHK are corresponding angles (as they lie on the same side of the traversal and on the bottom left side of their respective lines) and are thus congruent and equal.

By setting the two equations equal to each other, we can find the value.

After this, we can plug in x for any one of the equations and find the measure of both angles:

`8x-20=3x+2\\8x=3x+22\\5x=22\\x=(22)/(5) \\\\TKW=8((22)/(5))-20\\ TKW=(176)/(5)-20\\ TKW=(76)/(5)=15.2\\ TKW=XHK`