Question 224997
Complementary angles add up to 90 degrees.
{{{A+B=90}}}
So, from the information given, we can relate angles A and B:
{{{A=6+3B}}}
Plug this back into the first equation:
{{{6+3B+B=90}}}
Combine like terms:
{{{6+4B=90}}}
Move the 6 to the other side:
{{{4B=84}}}
Divide both sides by 4:
{{{B=21}}}
So, we know one angle, plug this back into the equation we made for the relation:
{{{A=6+3*21}}}
{{{A=69}}}
And since {{{69+21=90}}}, we know we've gotten the correct answer.