Answer:
a=15, b=14
Step-by-step explanation:
We know all angles must add up to 360, so lets add all angles and set them equal to 360.
[tex]7a+33+3b+10a-12+6b-42=360\\17a+9b-21=360[/tex]
We also know that any angle opposite another is equal. Lets take 6b-42 and 3b and set them equal.
[tex]3b=6b-42[/tex]
Now solve for b in both equations
[tex]3b=6b-42\\-3b=-42\\b=14[/tex]
[tex]17a+9b-21=360\\9b-21=360-17a\\9b=381-17a\\b=\frac{381-17a}{9}[/tex]
Now we set the two equations equal to each other to solve for a:
[tex]14=\frac{381-17a}{9} \\126=381-17a\\-255=-17a\\15=a[/tex]
This gives a=15, b=14.
