To solve for x, we need to set up an equation using the given information.
Since the sum of the angles in a triangle is 180°, we can write the equation:
m<ABC + m<CBD + m<DBE = 180°
Substituting the given angle measures into the equation:
(x-6)° + (4x-14)° + 5x° = 180°
Combining like terms:
x - 6 + 4x - 14 + 5x = 180
10x - 20 = 180
Adding 20 to both sides:
10x = 200
Dividing both sides by 10:
x = 20
So the equation to solve for x is: 10x - 20 = 180.
Three angles have measures that add up to 180° they have the following angles measure:
m<ABC= (x-6)°
M<CBD=(4x- 14)°
And
M<DBE= 5x°
What is the equation to solve for X?
11 answers
Two supplementary angles have the following measures: m<ABC= 135° and m< CBD= 9x° what is the equation to solve for X
Since the given angles are supplementary, their measures add up to 180°.
So, we can set up the equation:
m<ABC + m<CBD = 180°
Substituting the given angle measures into the equation:
135° + 9x° = 180°
Simplifying the equation:
9x° = 45°
Dividing both sides by 9:
x° = 5°
So, the equation to solve for x is: 9x = 45.
So, we can set up the equation:
m<ABC + m<CBD = 180°
Substituting the given angle measures into the equation:
135° + 9x° = 180°
Simplifying the equation:
9x° = 45°
Dividing both sides by 9:
x° = 5°
So, the equation to solve for x is: 9x = 45.
No
Apologies for the previous incorrect response. Let's set up the correct equation to solve for x.
The given angles are supplementary, which means that their measures add up to 180°.
So, we can set up the equation:
m<ABC + m<CBD = 180°
Substituting the given angle measures into the equation:
135° + 9x° = 180°
Simplifying the equation:
9x° = 180° - 135°
9x° = 45°
Dividing both sides by 9:
x° = 5°
So, the equation to solve for x is: 9x = 45.
The given angles are supplementary, which means that their measures add up to 180°.
So, we can set up the equation:
m<ABC + m<CBD = 180°
Substituting the given angle measures into the equation:
135° + 9x° = 180°
Simplifying the equation:
9x° = 180° - 135°
9x° = 45°
Dividing both sides by 9:
x° = 5°
So, the equation to solve for x is: 9x = 45.
It either equals 180° or 90°
Apologies for the confusion. Let's consider the correct equation to solve for x.
Since the given angles are supplementary, their measures add up to 180°.
So, we can set up the equation:
m<ABC + m<CBD = 180°
Substituting the given angle measures into the equation:
135° + 9x° = 180°
Simplifying the equation:
9x° = 180° - 135°
9x° = 45°
Dividing both sides by 9:
x° = 45°/9
x° = 5°
So, the equation to solve for x is: 9x = 45.
However, it's important to note that the given information of m<ABC = 135° and m<CBD = 9x° does not form supplementary angles. In this case, there might be some missing information or mistake in the given data.
Since the given angles are supplementary, their measures add up to 180°.
So, we can set up the equation:
m<ABC + m<CBD = 180°
Substituting the given angle measures into the equation:
135° + 9x° = 180°
Simplifying the equation:
9x° = 180° - 135°
9x° = 45°
Dividing both sides by 9:
x° = 45°/9
x° = 5°
So, the equation to solve for x is: 9x = 45.
However, it's important to note that the given information of m<ABC = 135° and m<CBD = 9x° does not form supplementary angles. In this case, there might be some missing information or mistake in the given data.
Dont simplify
Apologies for the confusion. Let's set up the equation without simplifying it.
We're given that the angles ABC and CBD are supplementary, which means their measures add up to 180°.
So the equation is:
m<ABC + m<CBD = 180°
Substituting the given angle measures, we have:
135° + 9x° = 180°
This is the equation to solve for x.
We're given that the angles ABC and CBD are supplementary, which means their measures add up to 180°.
So the equation is:
m<ABC + m<CBD = 180°
Substituting the given angle measures, we have:
135° + 9x° = 180°
This is the equation to solve for x.
Use facts about supplementary angles to solve the following problem. Two angles are supplementary and have measures m<ABC= 15°
And
M< CBD= x°
What is the value of m<CBD
And
M< CBD= x°
What is the value of m<CBD
If two angles are supplementary, then their measures add up to 180°.
We are given that m<ABC = 15° and m<CBD = x°.
Using the fact that the two angles are supplementary, we can write the equation:
m<ABC + m<CBD = 180°
Substituting the given angle measures:
15° + x° = 180°
Now we can solve for x by subtracting 15° from both sides:
x° = 180° - 15°
x° = 165°
Therefore, the value of m<CBD is 165°.
We are given that m<ABC = 15° and m<CBD = x°.
Using the fact that the two angles are supplementary, we can write the equation:
m<ABC + m<CBD = 180°
Substituting the given angle measures:
15° + x° = 180°
Now we can solve for x by subtracting 15° from both sides:
x° = 180° - 15°
x° = 165°
Therefore, the value of m<CBD is 165°.