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)

3 answers

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.
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°+°= °
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.