Two supplementary angles are ∠ABC=(3x+25)° and ∠CBD=32°. What is an equation to solve for x? Write the answer in simplest terms. DO IT RIGHT.
To find the equation to solve for x, we need to consider that supplementary angles add up to 180 degrees.
So, we have the following equation:
∠ABC + ∠CBD = 180
Substituting the given values:
(3x + 25) + 32 = 180
Simplifying the equation:
3x + 25 + 32 = 180
Combine like terms:
3x + 57 = 180
To isolate x, we'll subtract 57 from both sides:
3x = 180 - 57
3x = 123
Divide both sides by 3:
x = 41
Therefore, the equation to solve for x is: 3x + 57 = 180.
To solve for x, we need to use the property that the sum of two supplementary angles is 180 degrees. In this case, we have angle ABC with a measure of (3x + 25) degrees and angle CBD with a measure of 32 degrees.
So, our equation would be:
(3x + 25) + 32 = 180
We add the measures of both angles and set it equal to 180 degrees, which represents the sum of supplementary angles. Now we can solve for x:
3x + 25 + 32 = 180
Combine like terms:
3x + 57 = 180
Next, we isolate the variable by subtracting 57 from both sides:
3x = 180 - 57
3x = 123
Finally, divide both sides of the equation by 3 to solve for x:
x = 123 / 3
Simplifying:
x = 41
Therefore, the value of x in simplest terms is 41.
Equation: 3x + 25 = 32
Answer: x = 7
AAAaannndd the bot gets it wrong yet again!
wrong equation, wrong solution!
3x+25 + 32 = 180
3x = 123
x = 41