Question

find the value of x. triangle rst with s at the top, r and t at the base. sides sr and st are marked as equal, and side rt is marked as equal to them? wait, no, the marks: sr and st have one mark each, rt has one mark? wait, the triangle has s at the top, r and t at the base. the two sides from s (sr and st) have a cross mark each, and the base rt has a cross mark? wait, the angle at t (or r?) is (x + 8) degrees. then x = blank.

Explanation:

Step1: Identify Triangle Type

The triangle \( \triangle RST \) has all three sides marked as equal (indicated by the tick marks), so it is an equilateral triangle. In an equilateral triangle, all interior angles are equal to \( 60^\circ \).

Step2: Set Up Equation

Since \( \angle RTS=(x + 8)^\circ \) and in an equilateral triangle each angle is \( 60^\circ \), we set up the equation:
\( x + 8=60 \)

Step3: Solve for \( x \)

Subtract 8 from both sides of the equation:
\( x=60 - 8 \)
\( x = 52 \)

Answer:

\( 52 \)