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)

Question

2x°+ ° = °

Answer 1

To find an equation involving x, we can use the fact that the sum of the measures of supplementary angles is 180 degrees.

The measure of ∠TUV is given as (2x-25) degrees, and the measure of ∠VUW is given as 110 degrees.

So, we can write the equation as:

(2x-25) + 110 = 180

Simplifying the equation, we get:

2x - 25 + 110 = 180

2x + 85 = 180

2x = 180 - 85

2x = 95

Dividing both sides of the equation by 2, we get:

x = 95/2

Therefore, the equation to solve for x is:

2x + 85 = 180.

Answer 2

Two angles are supplementary. They have the following measures: m∠ACB=x° and m∠BCD=26° . What is the measure of ∠ACB ?(1 point)
m∠ACB=

Answer 3

Two angles are supplementary if their measures add up to 180 degrees. Therefore, we can write the equation:

x + 26 = 180

To solve for x, we subtract 26 from both sides of the equation:

x = 180 - 26

x = 154

Therefore, the measure of ∠ACB is 154 degrees.

Answer 4

Two angles are supplementary. They have the following measures: m∠QRS=(x+16)° and m∠SRT=(3x)° . What is the measure of ∠SRT ?(1 point)
m∠SRT=

Answer 5

Two angles are supplementary if their measures add up to 180 degrees. Therefore, we can write the equation:

(x + 16) + (3x) = 180

To solve for x, we combine like terms on the left side of the equation:

4x + 16 = 180

Next, we subtract 16 from both sides of the equation:

4x = 180 - 16

4x = 164

To isolate x, we divide both sides of the equation by 4:

x = 164/4

x = 41

Therefore, the measure of ∠SRT is 3x = 3(41) = 123 degrees.