Question

in the points shown in the diagram below (in the comments) two lines intersect to form four angles. the measures of the angles are given in terms of the variables a,b,c, and d. find the value of a. show your work

*** fan & medal***

Answer 1

you can see here the opposite angles are equal.
So 4a=2b+6 & 12b+6=8c+5
total angle = 360
so 360-2(12b+6)=2(2b+6)
Now solve and get the value for b = 12
substitute back into equation 4a = 2b +6
therefore a=7.5

Answer 2

thank you! @BbKOKO