Question

1.Write and equation for 2 supplementary angles with measures of (2x+5) and (x - 8)
show your work just your work nothing extra

Answer 1

The sum of two supplementary angles is 180 degrees. Therefore, we can write the equation:

(2x + 5) + (x - 8) = 180

To solve this equation, we combine like terms:

2x + x + 5 - 8 = 180
3x - 3 = 180

Now, we isolate the variable by adding 3 to both sides:

3x = 180 + 3
3x = 183

Finally, divide both sides by 3 to solve for x:

x = 183/3
x = 61

So, the measures of the two supplementary angles are (2x+5) and (x-8):

1. Angle 1 = (2 * 61 + 5) = 127 degrees.
2. Angle 2 = (61 - 8) = 53 degrees.