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Two angles are supplementary and have measures m angle QRS = (x+40) degrees and m angle SRT = x degrees. What is the measure of angle QRS?
If two angles are supplementary, their measures sum up to 180 degrees.
In this case, we have:
m angle QRS + m angle SRT = 180 degrees
Given that m angle QRS = (x+40) degrees and m angle SRT = x degrees, we can substitute those values into the equation:
(x+40) + x = 180
Simplifying the equation, we get:
2x + 40 = 180
Now, we can solve for x by subtracting 40 from both sides:
2x = 180 - 40
2x = 140
Finally, divide both sides by 2 to obtain the value of x:
x = 140 / 2
x = 70
Therefore, the measure of angle QRS is:
m angle QRS = x + 40 = 70 + 40 = 110 degrees
Two supplementary angles have the following measures: m angle ABC = 135 degrees and m angle CBD = 9x degrees. What is the equation to solve for x?
We know that supplementary angles add up to 180 degrees. In this case, we have two angles: angle ABC and angle CBD.
The measure of angle ABC is given as 135 degrees.
The measure of angle CBD is given as 9x degrees.
To find the equation to solve for x, we can set up the equation:
m angle ABC + m angle CBD = 180 degrees
Substituting the given measures:
135 + 9x = 180
This is the equation that can be solved to find the value of x.
Three angles measures add to 180 degrees and have the following measures: m angle ACB = (x+15) degrees, m angle BCD = (x+40) degrees, and m angle DCE = 13 degrees. What is the measure of angle BCD?
To find the measure of angle BCD, we need to set up an equation using the fact that the sum of the three angles is 180 degrees.
m angle ACB + m angle BCD + m angle DCE = 180
Given that:
m angle ACB = (x+15) degrees
m angle BCD = (x+40) degrees
m angle DCE = 13 degrees
Substituting these values into the equation, we have:
(x+15) + (x+40) + 13 = 180
Simplifying the equation, we combine like terms:
2x + 15 + 40 + 13 = 180
2x + 68 = 180
Next, we isolate the variable by subtracting 68 from both sides:
2x = 180 - 68
2x = 112
Finally, divide both sides by 2 to solve for x:
x = 112 / 2
x = 56
Therefore, the measure of angle BCD is:
m angle BCD = x + 40 = 56 + 40 = 96 degrees
Two angles are supplementary and have measures m angle ABC =15 degrees and m angle = x degrees. What is the value of x?
If two angles are supplementary, their measures sum up to 180 degrees. In this case, we have:
m angle ABC + m angle = 180 degrees
Given that m angle ABC = 15 degrees, we can substitute this value into the equation:
15 degrees + x = 180 degrees
Now, we can solve for x by subtracting 15 from both sides:
x = 180 degrees - 15 degrees
x = 165 degrees
Therefore, the value of x is 165 degrees