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Use the given information to write and solve a system of linear equations to find the values of x and y. ΔLMN ≅ ΔPQR, m∠L = 40°, m∠M = 90°, m∠P = (17x - y)°, m∠R = (2x + 4y)°

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Answer:

Step-by-step explanation:

Given that,

m∠L = 40°, m∠M = 90°

Since ΔLMN ≅ ΔPQR

(17x - y)° = 40°

(2x + 4y)° = 50°

Since, the sum of three angles of a triangle is 180 degrees.  

Then, m∠R = 1800 – 400 – 900 = 500

Remove degree from both side

17x – y = 40

2x + 4y = 50

Solving these two equations then,

x = 3, y = 11