What is the value of x? Enter your answer in the box. x = An equilateral triangle X Y Z with base X Y slightly inclined with vertical and vertex Z is in left of the base. Side X Y and Y Z and Z X are labeled with single tick mark. Angle X Y Z is labeled as left parenthesis 2 x minus 4 right parenthesis degrees. Angle X Y Z is labeled as 5y degrees.

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Answer:

32

Step-by-step explanation:

k12 user. for anyone who needs this in the future...<3

The value of x = 8

Given that,

Equilateral Δ RTS,

Base = RT

Vertex = S

RT = TS = SR

∠RST [tex]= (7x + 4)[/tex]°

∠RTS [tex]= (8y +12)[/tex]°

As we know,

RT = TS = SR

∵ ∠R = ∠S = ∠T = 60°

So,

∠RST [tex]= (7x + 4)[/tex]° = 60°

⇒ [tex]7x = 60-4[/tex]

∵ ∠RST [tex]=56/7[/tex] [tex]= 8[/tex]

Thus, the value of [tex]x = 8[/tex]

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