Question 599657
Hi, there--
.
Two angles are supplementary when the sum of their measures is 180 degrees.
.
Let x be the measure of the first angle.
.
The measure of the second angle is "2 more than double the other angle." We can write that relationship as 2x+2.
.
The sum of the angle measures is 180 degrees, so we can write the equation,
{{{x+2x+2=180}}}
.
Now we solve for x.
{{{3x+2=180}}}
{{{3x=180-2}}}
{{{3x=178}}}
{{{x=178/3}}}
{{{x=59&1/3}}}
.
The equation x = 59 1/3 means that the first angle measures 59 1/3 degrees. The second angle measures 2 more than double, so its measure is 2*(59 1/3)+ 2 = 120 2/3 degrees.
.
Be sure to check your answer. Is the sum of their measures 180 degrees? 
{{{59&1/3+120&2/3=180}}}
. 
Check!
.
That's it. Feel free to email via gmail if you have questions about the solution.
.
Ms.Figgy
math.in.the.vortex