Given that Δ MAN and Δ CPT are congruent to each other such that ∠M = 75, ∠N = 65, ∠A = 40, ∠C = x/2, ∠P = 6y + 16. Find the value of (x – 5y).
130
The correct answer is 130.
Two-Step Linear Equation ($ay + b = c$): To solve $40 = 6y + 16$, we first isolate the term with the variable ($6y$) by subtracting the constant (16) from both sides. Then, we isolate the variable ($y$) by dividing by its coefficient (6). These basic algebraic skills are fundamental for solving a wide range of geometry problems that involve unknown values represented by variables.
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