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.
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
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.
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.