Question 209799
This is a problem where you have 2 unknowns. You need to develop 2 equations containing these unknowns. Then you can solve the problem.
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Let x = Angle #1
Let y = Angle #2
You already developed one equation:
Equation #1: {{{x+y=90}}}
Now you need to use the information given to develop the second equation.
Equation #2: {{{2x=3y+40}}}
Now you have 2 equations and 2 unknowns. Anytime you have at least as many equations as unknowns, you can solve the problem!
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use the substitution method to solve the equations:
First, solve for y in Equation #1:
{{{x+y=90}}}
{{{y=90-x}}}
Next, substitute this expression for y into Equation #2.
{{{2x=3y+40}}}
{{{2x=3(90-x)+40}}}
Sole for x:
{{{2x=270-3x+40}}}
{{{5x=310}}}
{{{highlight(x=62)}}}
Finally, substitute this expression for x into Equation #1 and solve for y.
{{{x+y=90}}}
{{{62+y=90}}}
{{{highlight(y=28)}}}
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Good Luck,
tutor_paul@yahoo.com