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.
Since <ABC and <CBD are supplementary angles, their measures add up to 180 degrees. So we can set up the equation:
(3x + 25) + 32 = 180
Simplifying the left side of the equation:
3x + 57 = 180
Subtracting 57 from both sides:
3x = 180 - 57
3x = 123
Dividing both sides by 3:
x = 41
So the equation to solve for x is:
3x + 57 = 180
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.
Since <TUV and <VUW are supplementary angles, their measures add up to 180 degrees. So we can set up the equation:
(2x - 25) + 110 = 180
Simplifying the left side of the equation:
2x + 85 = 180
Subtracting 85 from both sides:
2x = 180 - 85
2x = 95
Dividing both sides by 2:
x = 47.5
So the equation to solve for x is:
2x + 85 = 180