Two supplementary angles are abc=(3x+25) degree and cbd=32 degree what is an equation to solve for x? The equation should be in simplest terms

Answer 1

Since the two angles are supplementary, the sum of their measures is 180 degrees:

abc + cbd = 180 degrees

Substituting the given angle measures:

(3x + 25) + 32 = 180

Simplifying:

3x + 57 = 180

Now, to solve for x, we can isolate the variable by subtracting 57 from both sides of the equation:

3x = 180 - 57

3x = 123

Finally, divide both sides by 3 to find the value of x:

x = 123/3

Simplifying further:

x = 41

Therefore, the equation to solve for x is 3x = 123.