Two supplementary angles are ∠ABC=135° and ∠CBD=9x°. What is the equation to solve for x
A: 9x + 135 = 90
B: 9x + 135 = 180
C: 9x − 135 = 180
D: 9x = 180
The answer is B
To find the equation that can be used to solve for x, we need to use the fact that supplementary angles add up to 180 degrees.
In this given problem, ∠ABC and ∠CBD are supplementary angles. So, we can write the equation as follows:
∠ABC + ∠CBD = 180°
Substitute the given values:
135° + 9x° = 180°
Simplify the equation:
9x + 135 = 180
Now, let's compare this equation with the answer choices:
A: 9x + 135 = 90 (This is not the same equation as above.)
B: 9x + 135 = 180 (This is the same equation as above.)
C: 9x − 135 = 180 (This equation doesn't match with our equation.)
D: 9x = 180 (This equation doesn't include the angle measure 135°.)
Therefore, the correct equation to solve for x is:
B: 9x + 135 = 180
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− 135
Answer: D: 9x = 180 − 135