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In the figure, PQR is a straight line. Find the values of x and y



In the figure, PQR is a straight line. Find the values of x and y
Take Free Practice Test On 2026 JAMB UTME, Post UTME, WAEC SSCE, GCE, NECO SSCE
  • A X = 22.5o, y = 33.75o
  • B X = 15o, y = 52.5o
  • C X = 22.5o, y = 45.0o
  • D X = 56.25o, y = 11.5o
Correct Answer: Option A
Explanation:
\(\frac{3}{2}\)x + 3y + 45° = 180°

3x + 6y + 90° = 360°

3x + 6y = 270.......(i) x 2,

5x + y + y = 180°

5x + 2y = 180° ... (ii) x 6

6x + 12y = 540 ... (iii)

30x + 12y = 1080 ... (iv)

eqn(iv) - eqn(iii)

24x = 540

x = 22.5° and y = 33.75°

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