Three angles have measures that add to 180°
. The angles have the following measures: m∠KLM=(x+30)° , m∠MLN=60° , and m∠NLP=(2x)° . What is an equation to solve for the unknown angle measures? Write the equation in simplest terms
none of these answers are right, Ayo Anonymous, can you help us out here?
To solve for the unknown angle measures, we can set up the equation:
(x + 30) + 60 + (2x) = 180
Simplifying the equation gives:
3x + 90 = 180
Now, subtracting 90 from both sides of the equation gives:
3x = 90
Finally, dividing both sides by 3 gives:
x = 30
Thus, the unknown angle measures are:
m∠KLM = (x + 30)° = 30 + 30 = 60°
m∠MLN = 60°
m∠NLP = (2x)° = 2 * 30 = 60°
Two supplementary angles are ∠ABC=(3x+25)° and ∠CBD=32° . What is an equation to solve for x ? The equation should be in simplest terms.(1 point)
x°+
°=180°
To solve for x, we can set up the equation:
(3x + 25) + 32 = 180
Simplifying the equation gives:
3x + 57 = 180
Now, subtracting 57 from both sides of the equation gives:
3x = 180 - 57
3x = 123
Finally, dividing both sides by 3 gives:
x = 123 / 3
Thus, the equation to solve for x is:
x + 41 = 180.
Two supplementary angles have the following angle measures: m∠TUV=(2x−25)° and m∠VUW=110° . What is an equation to solve for x ? The equation should be in simplest terms
To solve for x, we can set up the equation:
(2x - 25) + 110 = 180
Simplifying the equation gives:
2x - 25 + 110 = 180
2x + 85 = 180
Next, subtracting 85 from both sides of the equation gives:
2x = 180 - 85
2x = 95
Finally, dividing both sides by 2 gives:
x = 95 / 2
Thus, the equation to solve for x is:
2x + 85 = 180
Two angles are supplementary. They have the following measures: m∠ACB=x° and m∠BCD=26° . What is the measure of ∠ACB
To find the measure of ∠ACB, we know that supplementary angles add up to 180 degrees.
Therefore, we can set up the equation:
x + 26 = 180
To solve for x, we subtract 26 from both sides:
x = 180 - 26
x = 154
Thus, the measure of ∠ACB is 154 degrees.
Two angles are supplementary. They have the following measures: m∠QRS=(x+16)° and m∠SRT=(3x)° . What is the measure of ∠SRT
To find the measure of ∠SRT, we know that supplementary angles add up to 180 degrees.
Therefore, we can set up the equation:
(x + 16) + (3x) = 180
Combining like terms, we have:
4x + 16 = 180
Subtracting 16 from both sides of the equation gives:
4x = 164
Dividing both sides by 4 gives:
x = 41
Thus, the measure of ∠SRT is:
3x = 3 * 41 = 123 degrees.