Question 369833
Two complementary angles have a sum of 90 degrees. <br>

Let x be the measure of the angle we are interested in.  Then we have<br>

{{{x+30=90-x}}}<br>

{{{2x=60}}}<br>

{{{x=30}}}<br>

<b>Therefore the measure of the angle is 30 degrees, and it's complement is 60 degrees, which meets the given requirements.</b><br>

I hope this helps!<br>