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Can you find values of x and y?

 

 Jul 27, 2020
 #1
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The figure on the left:  

Because the lines are parallel,

   (5y - 4) + (3y)  =  180o   --->   8y - 4  =  180o   --->   8y  =  184o   --->   y  =  23o  

   3y  =  2x + 13   --->   3(23)  =  2x + 13   --->   69  =  2x + 13   --->   56  =  2x    --->   28o  =  x

 

The figure on the right:

Because the lines are parallel,

   3x + 2y + 4y  =  180o   --->   3x + 6y  =  180o  

Because they are in a triangle,

   2y + 4y + 5x - 20o  =  180o   --->   6y + 5x  =  200o 

 

Solving these equations:  6y + 3x  =  180o 

                                         6y + 5x  =  200o

Subtracting:                            -2x  =  -20o

 

And, now it's your turn ...

 Jul 27, 2020

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