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4 votes
Find X
Please and thank you!

Find X Please and thank you!-example-1
User LoPiTaL
by
3.7k points

2 Answers

2 votes

x=28

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

User Surely
by
4.6k points
2 votes

Explanation:


\underline{ \underline{ \large{ \tt\red{G \: I \: V \: E \: N}}}} :

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


\underline{ \underline{ \large{ \tt{ \purple{T \: O \: \: F \: I \: N\: D}}}}} :

  • Value of x


\underline{ \underline{ \large{ \orange{ \tt{S\: O \: L \: U \: T \: I \: O \: N}}}}} :

~Set up an equation & solve for x :


\large{ \bf{(2x - 15 ) \degree= ( 1x + 13) \degree }}

[ 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


\large{ \bf{2x -1x = 13 + 15}}


\boxed{ \large{ \bf{x = 28 \degree}}}


\boxed{ \boxed{ \underline{ \underline{ \large{ \bold{ \pink{ \tt{Our \: Final \: Answer : \boxed{ \bold{ \red{x = 28 \degree}}}}}}}}}}}


\underline{ \text{HOPE \: I\: HELPED}} !! ♡


\underline{ \underline{ \text{HAVE \: A \: WONDERFUL \: DAY / \: NIGHT}}}


\underbrace{ \overbrace{ \mathfrak{Carry \: On \:Learning}}}

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User MikeTeeVee
by
3.5k points