Respuesta :

renjunhwang66

Answer:

(8x+15)=(7x+17){ being alternative angle}

8x+15=7x+17

8x-7x=17-15

x=2

here,

8x+15= 8×2+15

16+15=31

7x+17

7×2+17

14+17

31

again

(8x+15)+y=180°( being straight angle)

31+y=180

y=180-31

y= 149

DᴀʀᴋPᴀʀᴀᴅᴏx

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

In the given figure, Angles (8x + 15) and (7x + 17) are equal

because they form pair of Alternate interior angles.

  • [tex]8x + 15 = 7x + 17[/tex]

  • [tex]8x - 7x = 17 - 15[/tex]

  • [tex]x = 2[/tex]

So,

  • [tex]8x + 15[/tex]

  • [tex]( 8\times 2) + 15[/tex]

  • [tex]16 + 15[/tex]

  • [tex]31 \degree[/tex]

now, as we can see Angle y and (8x + 15) are forming linear pair; so their sum measures 180°

  • [tex](8x + 15) + y = 180[/tex]

  • [tex]31 + y = 180[/tex]

  • [tex]y = 180 - 31[/tex]

  • [tex]y = 149 \degree[/tex]

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