Answer:
The measure of angle CBD is 70 degrees.
Step-by-step explanation:
Given that A, B, and C are collinear (on a straight line) and B is in between A and C.
For a point D not on the line:
[tex]\angle ABD+\angle CBD=180^\circ $ (By the Linear Postulate)\\(8x-2)^\circ+5x^\circ=180^\circ\\8x+5x=180^\circ+2^\circ\\13x=182^\circ\\$Divide both sides by 13\\x=14^\circ[/tex]
Therefore, the measure of angle CBD
= 5 X 14
[tex]=70^\circ[/tex]
The measure of angle CBD is 70 degrees.
