Given that ∆MAN and ∆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).
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Correct answer: D
Explanation
The correct answer is Option 4 i.e. 130.
∆MAN ≅ ∆CPT (Corresponding angles are equal)
∠M = ∠C = 75
∠A = ∠P = 40
∠N = ∠T = 65
∠C = x/2 = 75 ⇒ x = 150
∠P = 6y + 16 = 40 ⇒ y = 4
So, (x – 5y) = 150 – 5(4) = 150 – 20 = 130