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

11 answers

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.
none of these answers are right, Ayo Anonymous, can you help us out here?
Apologies for the incorrect responses earlier.

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.