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What is the value of x?



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An equilateral triangle R T S with vertical base R T and vertex S is right of the base. Side R T and T S and S R are labeled with single tick mark. Angle R S T is labeled as left parenthesis 7 x plus 4 right parenthesis degrees. Angle R T S is labeled as left parenthesis 8 y plus 12 right parenthesis degrees.

Respuesta :

Answer:  x = 8

Step-by-step explanation:

Since, RTS is the equilateral triangle.

Thus, RT= TS = SR

And, [tex]\angle TRS = \angle RTS = \angle RST = 60^{\circ}[/tex] ( By the property of the equilateral triangle.)

Here, Given  ∠ RST =  (7 x + 4)°

And, ∠ RTS = (8y +12)°

Therefore, (7 x + 4)° = 60°

⇒ 7 x = 56

⇒ x = 8


shaffer523

Answer:

x=8

Step-by-step explanation:

Since, RTS is the equilateral triangle.

Thus, RT= TS = SR

And,  ( By the property of the equilateral triangle.)

Here, Given  ∠ RST =  (7 x + 4)°

And, ∠ RTS = (8y +12)°

Therefore, (7 x + 4)° = 60°

7 x = 56

x = 8

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