Question 220652
First, find the angle. Let A be the Angle, and C be it's complement.
Since the angles are complimentary, you can write this equation:
Equation #1: {{{A+C=90}}}
From the information given, you can write this equation:
Equation #2:{{{C=0.5A-15}}}
You have 2 equations with two unknowns. Solve Equation #1 for C:
{{{C=90-A}}}
Substitute this expression for C into Equation #2:
{{{90-A=0.5A-15}}}
Solve for A:
{{{-1.5A=-105}}}
{{{A=70}}}
Now that you have the angle, you can find its supplement (S) via the following equation:
{{{70+S=180}}}
{{{highlight(S=110)}}}
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Good Luck,
tutor_paul@yahoo.com