Answer:
∠A = 94º
∠C = 86º
Step-by-step explanation:
You just need to know that the sum of the two angles in a parallelogram must be equal to 180º. Let's make an equation.
[tex](5y-3)+(3y+27)=180[/tex]
Solve;
[tex]5y-3+3y+27=180[/tex]
Combine like terms;
[tex]8y+24=180[/tex]
Subtract 24
[tex]8y=180-24[/tex]
[tex]8y=156[/tex]
Divide by 8
[tex]y=\frac{156}{8}[/tex]
Simplify.
[tex]y=\frac{39}{2}[/tex]
Replace;
∠A = [tex]5y-3[/tex]
[tex]5(\frac{39}{2})-3\\ \frac{195}{2}-3\\ \frac{195-2*3}{2}\\[/tex]
[tex]\frac{195-6}{2}[/tex]
[tex]\frac{189}{2} =94.5[/tex]≅ 94
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∠C =
[tex]3y+27\\3(\frac{39}{2})+27[/tex]
[tex]\frac{117}{2}+27[/tex]
[tex]\frac{117+27*2}{2}[/tex]
[tex]\frac{117+54}{2}[/tex]
[tex]\frac{171}{2}=85.5[/tex]≅86
