Answer
The value of x is 8. For an equilateral triangle Δ RTS, the sides RT, TS, and SR are equal. The angles ∠RST and ∠RTS are given as (7x + 4)° and (8y + 12)° respectively. We know that each angle in an equilateral triangle measures 60°. Therefore, setting ∠RST equal to 60°, we have (7x + 4)° = 60°. This leads to 7x = 60 Р4, simplifying to 7x = 56, and giving us x = 8.
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