Question

PLEASE HELP!!!! I’m stuck What is the measure of What is the measure of

Answer 1

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.

$(5y-3)+(3y+27)=180$

Solve;

$5y-3+3y+27=180$

Combine like terms;

$8y+24=180$

Subtract 24

$8y=180-24$

$8y=156$

Divide by 8

$y=\frac{156}{8}$

Simplify.

$y=\frac{39}{2}$

Replace;

∠A = $5y-3$

$5(\frac{39}{2})-3\\ \frac{195}{2}-3\\ \frac{195-2*3}{2}$

$\frac{195-6}{2}$

$\frac{189}{2} =94.5$≅ 94

----------------------------------------------------------------------------------------------

∠C =

$3y+27\\3(\frac{39}{2})+27$

$\frac{117}{2}+27$

$\frac{117+27*2}{2}$

$\frac{117+54}{2}$

$\frac{171}{2}=85.5$≅86