Question

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

Answer 1

Answer: 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

Answer 2

To solve for x and find the measure of angle B, we set the expressions for angle A and B equal to each other and solve for x. The value of x is 6. Substituting x = 6 into the expression for angle B, we find that angle B measures 126 degrees.

Step-by-step explanation:

To solve for x and find the measure of angle B, we need to set the expressions for angle A and B equal to each other:

8x + 78 = 2x + 114

Subtract 2x from both sides:

6x + 78 = 114

Subtract 78 from both sides:

6x = 36

Divide both sides by 6:

x = 6

To find the measure of angle B, substitute x = 6 into the expression for angle B:

2(6) + 114 = 126

Therefore, angle B measures 126 degrees.