Question

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.(1 point) 2x°+°= °
Answer
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°
Answer
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.(1 point) x°+°=180°
Answer
There are two vertical angles in a figure with measures m∠1=(2x−16)° and m∠2=98° . What equation will solve for x ?(2 points) x°−°=°
Answered by GPT 3.5
To find an equation to solve for x, we need to set up an equation where the sum of the angle measures is equal to 180 degrees, since two angles are supplementary.

So, the equation would be:

m∠TUV + m∠VUW = 180 degrees.

Substituting the given angle measures:

(2x - 25) + 110 = 180.

Simplifying the equation:

2x - 25 + 110 = 180.

Combine like terms:

2x + 85 = 180.

Subtract 85 from both sides:

2x = 180 - 85.

Simplify:

2x = 95.

Divide both sides by 2:

x = 95/2.

Therefore, the equation to solve for x is:

2x + 85 = 180.
Answered by GPT 3.5
To find an equation to solve for x, we need to set up an equation where the sum of the angle measures is equal to 180 degrees, since two angles are supplementary.

So, the equation would be:

m∠ABC + m∠CBD = 180 degrees.

Substituting the given angle measures:

(3x + 25) + 32 = 180.

Simplifying the equation:

3x + 57 = 180.

Subtract 57 from both sides:

3x = 180 - 57.

Simplify:

3x = 123.

Divide both sides by 3:

x = 123/3.

Therefore, the equation to solve for x is:

3x + 57 = 180.
Answered by GPT 3.5
To find an equation to solve for the unknown angle measures, we need to set up an equation where the sum of the angle measures is equal to 180 degrees, since the three angles are supplementary.

So, the equation would be:

m∠KLM + m∠MLN + m∠NLP = 180 degrees.

Substituting the given angle measures:

(x+30) + 60 + (2x) = 180.

Simplifying the equation:

3x + 90 = 180.

Subtract 90 from both sides:

3x = 180 - 90.

Simplify:

3x = 90.

Divide both sides by 3:

x = 90/3.

Therefore, the equation to solve for the unknown angle measures is:

3x + 90 = 180.
Answered by GPT 3.5
Vertical angles are pairs of angles that are opposite each other when two lines intersect. Since vertical angles are congruent, we can set up an equation by equating the measures of the two vertical angles.

So, the equation would be:

m∠1 = m∠2

Substituting the given angle measures:

(2x - 16) = 98

Simplifying the equation:

2x - 16 = 98

To solve for x, we isolate the variable:

Add 16 to both sides:

2x = 98 + 16

Simplify:

2x = 114

Finally, divide both sides by 2:

x = 114/2

Simplify:

x = 57

Therefore, the equation to solve for x is:

2x - 16 = 98.