#10: since those two angles are supplementary then the line is equal to 180 degrees. so your equation would be: (4x+10)+(x+20)=180 add common terms: 5x+30=180 subtract 30 from both sides to have the term with x alone, on one side of the equation: 5x=150 divide both sides to find the value of x and your answer is: x=30
#11: Since ray BD bisects angle ABC then angles ABD and DBC are equivalent to each other so your equation would be: ABD=DBC 2x+10=x+20 Solve for x by adding x to both sides and also subtracting 10 from both sides: x=10 Now to find the measure of angle EBA you must first find the measure of ABC to subtract that from the measure of EBC, which is 180 degrees. So to find ABC: ABD+DBC=ABC 2(10)+10+10+20=ABC 60=ABC
