Question

look at the diagram.
diagram showing angles at point s: ∠psq is 71°, ∠qsr is (9x - 6)°, ∠rs (with 2x° angle)
which equation can be used to solve for x?
2x + 3 = 71 11x - 6 = 71
2x + 3x = 71 7x - 6 = 71
solve for x.

Explanation:

Answer:

Equation: \( 11x - 6 = 71 \)
\( x = 7 \)

(Step-by-step for equation: From the diagram, the sum of \( 2x^\circ \) and \( (9x - 6)^\circ \) equals \( 71^\circ \), so \( 2x + 9x - 6 = 71 \) simplifies to \( 11x - 6 = 71 \). Solving: \( 11x = 71 + 6 = 77 \), so \( x = 77 \div 11 = 7 \). But as per output rules, only final answers are provided here.)