Find the measure of JDB
/J
/
4x+5 / 2X+10
------------/-----------B
D
To find the measure of JDB, we need to use the fact that angles along a straight line add up to 180 degrees.
In this case, we can see that angle JDB is on a straight line with angles J and B. So we can set up the equation:
angle J + angle JDB + angle B = 180 degrees
Now let's find the measures of angle J and angle B based on the given expressions:
angle J = 4x + 5 (as given)
angle B = 2x + 10 (as given)
Substituting these values into our equation, we get:
(4x + 5) + JDB + (2x + 10) = 180
Combining like terms, we have:
6x + 15 + JDB = 180
To find JDB, we need to isolate it on one side of the equation. Let's subtract 15 from both sides:
6x + JDB = 180 - 15
6x + JDB = 165
So, the measure of JDB is 165 - 6x.