In the figure, PQR is a straight line. Find the values of x and y
Attached Figure / Diagram
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
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
\(\frac{3}{2}\)x + 3y + 45^\circ = 180^\circ
3x + 6y + 90^\circ = 360^\circ
3x + 6y = 270.......(i) x 2,
5x + y + y = 180^\circ
5x + 2y = 180^\circ ... (ii) x 6
6x + 12y = 540 ... (iii)
30x + 12y = 1080 ... (iv)
eqn(iv) - eqn(iii)
24x = 540
x = 22.5^\circ and y = 33.75^\circ
Source: Myschool Past Questions Archive (Record #32773)