Respuesta :

Aaronscience101

Answer:

25

Step-by-step explanation:

Since CAT is Bisected we know that PAT and CAP are equal to each other.

CAT=5x+17

Therefore, PAT =(5x+17)/2 (as it is a bisected angle)=3x-4

(5x+17)2=3x-4

6x-8=5x+17

x=25

DᴀʀᴋPᴀʀᴀᴅᴏx

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

The ray AP bisects Angle CAT , so the angles formed (Angle PAT and Angle PAC) will be half the measure of Angle CAT.

So, Angle CAT = 2 Angle PAT

that is :

  • [tex]5x + 17 = 2(3x - 4)[/tex]
  • [tex]5x + 17 = 6x - 8[/tex]
  • [tex]6x - 5x = 17 + 8[/tex]
  • [tex]x = 25[/tex]

hence, value of x = 25°

Otras preguntas