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°+ ° = °
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.
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=
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.
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=
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.