Question

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)

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the value of x, we can use the fact that the sum of the measures of two supplementary angles is 180 degrees.

So, we can set up the equation:

∠ABC + ∠CBD = 180

(3x + 25) + 32 = 180

Simplifying:

3x + 57 = 180

Subtracting 57 from both sides:

3x = 123

Dividing both sides by 3:

x = 41

Therefore, the equation to solve for x is 3x + 57 = 180.

Answer 2

wo 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 3

[AI-generated answer — Bot GPT 3.5]

To find the value of x, we can use the fact that the sum of the measures of two supplementary angles is 180 degrees.

So, we can set up the equation:

∠TUV + ∠VUW = 180

(2x - 25) + 110 = 180

Simplifying:

2x + 85 = 180

Subtracting 85 from both sides:

2x = 95

Dividing both sides by 2:

x = 47.5

Therefore, the equation to solve for x is 2x + 85 = 180.