Question

In angle ABC, ray BX is in the interior of the angle, the measure of angle ABX is 12 more than 4 times the measure of angle CBX, and the measure of angle ABC = 92 degrees.
a. Draw a diagram to represent the situation.
b. Write and solve an equation to find the measure of angle ABX and the measure of angle CBX.

Any help is much appreciated! :)

Answer 1

To start you should represent CBX as x. so, an equation would be                       92 = x + 4x + 12. This is the equation so, 92 is the total angle, and the 12x + 4 is the ABX part. So, once you solve the problem you should get CBX=76 and ABX=16