The angle measurements in the diagram are represented by the following expressions. angle a= 8x+78 angle b= 2x+114 solve for xx and then find the measure of and angle b

Step-by-step explanation:

x=3.6 M∠B=151.2

Step-by-step explanation:

Re-write problem- 8x+78=2x+114. Combine like terms- 8x+2x= 10x. Now you have the problem- 10x+78=114. Subtract 78 from 114 (Because it is on the opposite side of the equal sign)- 114-78=36. You now have- 10x=36. Divide 36 by 10 to find the value of x- 3.6. To find measure of angle B, put 3.6 where x would have been. B=2(3.6)+114. Get rid of parenthesis by multiplying- 2x3.6=7.2. Now just add 144 to 7.2- 144+7.2=151.2.

Hope this helped :D