ANGULOS TRAZADOS POR UNA TRANSVERSAL

1- Encuentra el valor de y en la siguiente figura

 

                                         (3x+ 35)

              (12x- 10)                   (20y+ x)

12x-10= 3x+35                                            20y + x = 130

12x-3x= 35+10                                            20y + 5 = 130

9x= 45                                                         20y = 130 - 5

X= 45   = 5                                                      y = 125  = 6.25                          

      9                                                                       20

1-    Determina el valor de y en la siguiente figura

 

                                             (3x+35)

               (11y)                       (7x+5)

 

3x-11y= -35                                         7(3x-11y= -35)

7x+11y= 175                                        3(7x+11y= 175)

                                                             21x-77y= 245

                                                             21x-33y= -525

                                                                    110y= 770

                                                                          Y= 770  = 7

                                                                                110

2-    En la siguiente figura, encuentra el valor de x. Sean r1 y r2 paralelas

 

                                               (6y-15)

 

                                             (3y+6)

                                (9x)

6y-15= 3y+6                                            3y+6= 9x

6y-3y= 6+15                                            3(7)+6= 9x

3y= 21                                                      21+6= 9x

Y= 21 = 7                                                 27= 9x

      3                                                         x= 27  = 3

                                                                       9

3-    En la siguiente figura, encuentra el valor de y

 

                       (6x+18)

 

                       (2x-22)                 (5y+2)

6x+18+2x-22= 180                                          2x-22+5y+2= 180                                                8x= 180+22-18                                                2(23)-22+5y+2= 180                                                                                                                 8x= 184                                                           46-22+5y+2= 180                                                                                                                          X= 184 :  8= 23                                              5y= 180-2+22-46

                                                                        Y= 154 : 5= 30.8

4-    Encuentra el valor de x en la siguiente figura

 

                                         (5y+12)

 

(8y+3)                                (4x-5)                                                                                                                                                                                                                                                                                               

        

5y+12+8y+13= 180

13y= 180-13-12

13y= 155

Y= 155 : 13= 11.9