Respuesta :

x=28

Step-by-step explanation:

angle bisector splits the angle through the middle

so we can say both equations are equal so you can solve 2x-15=1x+13

Step-by-step explanation:

✧ [tex] \underline{ \underline{ \large{ \tt\red{G \: I \: V \: E \: N}}}} : [/tex]

  • JM is an angle bisector of ∠ ZJF.
  • ∠ ZJM = (2x - 15)° , ∠ MJF = ( 1x + 13 ) °

❅ [tex] \underline{ \underline{ \large{ \tt{ \purple{T \: O \: \: F \: I \: N\: D}}}}} : [/tex]

  • Value of x

☄ [tex] \underline{ \underline{ \large{ \orange{ \tt{S\: O \: L \: U \: T \: I \: O \: N}}}}} : [/tex]

~Set up an equation & solve for x :

☃ [tex] \large{ \bf{(2x - 15 ) \degree= ( 1x + 13) \degree }}[/tex]

[ Since JM is a angular bisector of ∠ ZJF , ∠ ZJM = ∠ MJF ]

~ Move 1x to left hand side and change it's sign. Likewise , Move 15 to right hand side and change it's sign

⟶ [tex] \large{ \bf{2x -1x = 13 + 15}}[/tex]

⟶ [tex] \boxed{ \large{ \bf{x = 28 \degree}}}[/tex]

☂ [tex] \boxed{ \boxed{ \underline{ \underline{ \large{ \bold{ \pink{ \tt{Our \: Final \: Answer : \boxed{ \bold{ \red{x = 28 \degree}}}}}}}}}}}[/tex]

♨ [tex] \underline{ \text{HOPE \: I\: HELPED}}[/tex] !! ♡

♪ [tex] \underline{ \underline{ \text{HAVE \: A \: WONDERFUL \: DAY / \: NIGHT}}}[/tex]♕

☛ [tex] \underbrace{ \overbrace{ \mathfrak{Carry \: On \:Learning}}}[/tex] ✎

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