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Three angles have measures that add to 180 degrees. The angles have the following measures: m angle KLM = (x+30) degrees, m angle NLP =(2x). What is an equation to solve for the unknown angle measures? Write an equation in the simplest terms.
To find the unknown angle measures, we can use the fact that the sum of the measures of all three angles is 180 degrees.
The measures of the angles are given as:
angle KLM = (x + 30) degrees
angle NLP = 2x degrees
By adding up these measures, we get the equation:
(x + 30) + (2x) + unknown angle measure = 180
Simplifying the equation, we have:
3x + 30 + unknown angle measure = 180
We can simplify it further by subtracting 30 from both sides:
3x + unknown angle measure = 150
Thus, the equation to solve for the unknown angle measure is 3x + unknown angle measure = 150.
Two supplementary angles are angle ABC = (3x+25) degrees and angle CBD = 32 degrees. What is an equation to solve for x? The equation should be in simplest terms.
Two supplementary angles add up to 180 degrees. In this case, we have:
angle ABC = (3x + 25) degrees
angle CBD = 32 degrees
Since these angles are supplementary, we can write the equation as:
(3x + 25) + 32 = 180
Simplifying the equation, we have:
3x + 57 = 180
To solve for x, we can subtract 57 from both sides of the equation:
3x = 180 - 57
3x = 123
Finally, to isolate x, we divide both sides of the equation by 3:
x = 123 / 3
Therefore, the equation to solve for x is x = 123 / 3.
Two supplementary angles have the following angle measures: m angle TUV = (2x-25) degrees and m angle VUW = 110 degrees. What is an equation to solve for x? The equation should be in simplest terms.
Since two supplementary angles add up to 180 degrees, we can set up the following equation:
(2x - 25) + 110 = 180
Simplifying the equation, we have:
2x - 25 + 110 = 180
Combining like terms, we get:
2x + 85 = 180
To solve for x, we can subtract 85 from both sides of the equation:
2x = 180 - 85
2x = 95
Finally, to isolate x, we divide both sides of the equation by 2:
x = 95 / 2
Therefore, the equation to solve for x is x = 95 / 2, which can also be expressed as x = 47.5.
Two angles are supplementary. They have the following measures: m angle ACB = x degrees and m angle BCD = 26 degrees. What is the measure of angle ACB?
We know that two supplementary angles add up to 180 degrees. In this case, we have:
m angle ACB = x degrees
m angle BCD = 26 degrees
To find the measure of angle ACB, we can set up the equation:
x + 26 = 180
To solve for x, we subtract 26 from both sides of the equation:
x = 180 - 26
x = 154
Therefore, the measure of angle ACB is 154 degrees.