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Find the measures of each angle. Supplementary angles with measures (2x+3) and (3x+2). A. 64 and 116. B. 53 and 127. C. 63 and 117. D. 73 and 107

Respuesta :

DeanR

Supplementary means adds to 180 degrees as all the choices do.


2x + 3 + 3x + 2 = 180


5x + 5 = 180


5x = 175


x = 175 / 5 = 35


2(35)+3 = 73

3(35)+2=107


Choice D



GoddessofDork

So since they are supplementary angles, they add up to 180. With this info, we can form the equation [tex] 2x+3+3x+2=180 [/tex]


First, combine like terms: [tex] 5x+5=180 [/tex]


Next, subtract 5 on each side: [tex] 5x=175 [/tex]


Next, divide 5 on both sides, and the answer will be x = 35



Now that we got what x is, we can substitute it into the x of both angles:

[tex] 2(35)+3\\ 70+3\\ 73 [/tex]


[tex] 3(35)+2\\ 105+2\\ 107 [/tex]



In short, the correct option is D. 73 and 107.

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