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.
3x + 25 + 32 = 180
3x = 153
x = 51
To find an equation that solves for x in this problem, we need to remember that the angles are supplementary. Supplementary angles add up to 180 degrees.
So, we can write the equation as:
∠ABC + ∠CBD = 180°
Substitute the given values:
(3x + 25) + 32 = 180
Simplify the equation by combining like terms:
3x + 57 = 180
To isolate the variable term, we subtract 57 from both sides of the equation:
3x = 180 - 57
Simplify further:
3x = 123
Finally, to solve for x, divide both sides of the equation by 3:
x = 123 / 3
x = 41
Therefore, the equation to solve for x is: 3x + 57 = 180.
Two angles are supplementary when their sum equals 180 degrees. So, we can set up the equation:
∠ABC + ∠CBD = 180°
Substituting the given values:
(3x + 25) + 32 = 180
Simplifying the equation gives:
3x + 57 = 180
To isolate the variable term, subtract 57 from both sides:
3x = 180 - 57
Simplifying further:
3x = 123
Finally, divide both sides by 3 to solve for x:
x = 123/3
Therefore, the equation in simplest terms to solve for x is:
x = 41