<PRE><B>Question 133604</B>
If angle A and angle B are complementary, then the measure of A plus the measure of B = {{{pi/2}}} or 90 degrees, depending on whether you are working in degrees or radians.


I&#39;ll do the problem in degrees and you can convert if you need to.


{{{A + B = 90}}}
{{{3x+4+5x+6=90}}}
{{{8x=90-10}}}
{{{8x=80}}}
{{{x=10}}}

So angle A measures {{{3(10)+4=34}}} and angle B measures {{{5(10)+6=56}}}.


Check:
34 + 56 = 90.
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