Answer:
The measure of angle BCD is [tex]68.5\°[/tex]
Step-by-step explanation:
step 1
Find the value of x
In this problem
[tex]m<ABD+m<BCD+m<EDF=180\°[/tex] -----> is a straight line
substitute the values
[tex](3x+4)+(6x-8)+(7x-20)=180\°[/tex]
[tex](16x-24)=180\°[/tex]
[tex]16x=180\°+24\°[/tex]
[tex]x=12.75\°[/tex]
step 2
Find the measure of angle BCD
[tex]m<BCD+=(6x-8)\°[/tex]
substitute the value of x
[tex]m<BCD+=(6(12.75)-8)=68.5\°[/tex]
