Answer:
6
Step-by-step explanation:
If angles C and E are supplementary then they add up to be 180 degrees.
So we have:
[tex]112+(3x+50)=180[/tex]
[tex]112+3x+50=180[/tex]
Using commutative property to gather like terms:
[tex]3x+112+50=180[/tex]
Simplify:
[tex]3x+162=180[/tex]
Subtract 162 on both sides:
[tex]3x=180-162[/tex]
Simplify:
[tex]3x=18[/tex]
Divide both sides by 3:
[tex]x=\frac{18}{3}[/tex]
[tex]x=6[/tex]
Check:
If [tex]x=6[/tex] then the measurement of angle E is [tex](3 \cdot 6+50)=68[/tex].
The measurement of angle C plus the measurement of angle E is:
112+68=180.
