Question 991573
Start by naming the two angles, A and B.
Then write down what you know mathematically.
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Ratio of 5:3.
{{{A/B=5/3}}}
{{{3A=5B}}}
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The larger angle is A since 3 A's make up 5 B's.
So,
{{{A=30+(A-B)/2}}}
Multiply by 2,
{{{2A=60+A-B}}}
{{{A+B=60}}}
Multiply by 3.
{{{3A+3B=180}}}
Now substitute from above,
{{{5B+3B=180}}}
Now solve for B.
Then go back and solve for A.