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