Question

What is the value of x?

Enter your answer in the box.

x =



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.

Answer 1

x=8

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

Answer 2

Answer: x = 8

Explanation:

Since, RTS is the equilateral triangle.

Thus, RT= TS = SR

And,
`\angle TRS = \angle RTS = \angle RST = 60^(\circ)` ( 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