Question

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

Answer 1

∠A = 94º

∠C = 86º

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=(156)/(8)`

Simplify.

`y=(39)/(2)`

Replace;

∠A =
`5y-3`

`5((39)/(2))-3\\ (195)/(2)-3\\ (195-2*3)/(2)\\`

`(195-6)/(2)`

`(189)/(2) =94.5`≅ 94

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∠C =

`3y+27\\3((39)/(2))+27`

`(117)/(2)+27`

`(117+27*2)/(2)`

`(117+54)/(2)`

`(171)/(2)=85.5`≅86