Question 222313
All the angles of a triangle add up to 180 degrees.
Since two of the angles are the same, we can write:
{{{2A+B=180}}}
Where 2A accounts for the two angles that are the same.
We are given the relation:
{{{B=A+30}}}
We can plug this into our first equation:
{{{2A+A+30=180}}}
Combine like terms and move the 30 to the other side:
{{{3A=150}}}
Divide both sides by 3:
{{{A=50}}}
We can solve for B by plugging A back into our relation:
{{{B=50+30}}}
{{{B=80}}}
To check: {{{80+50+50=180}}}, so we are correct.