Two supplementary angles have the following measures m <ABC=135 and m <CBD=9x. What is the equation to solve for x ?

Answer 1

Since angles ABC and CBD are supplementary, their measures add up to 180 degrees:
135 + 9x = 180

To solve for x, we can subtract 135 from both sides to isolate the term with x:
9x = 180 - 135

Simplifying the right side gives:
9x = 45

Finally, we divide both sides by 9 to solve for x:
x = 45/9

Simplifying the right side further:
x = 5