In the figure, PQR is a straight line. Find the values of...
In the figure, PQR is a straight line. Find the values of x and y
x = 22.5o, y = 33.75o
x = 15o, y = 52.5o
x = 22.5o, y = 45.0o
x = 56.25o, y = 11.5o
Correct answer is A
\(\frac{3}{2}\)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°
Similar Questions
In the figure, PQRS is a circle with ST||RQ. Find the value of x if PT = pS ...
Simplify; \(\sqrt{2}(\sqrt{6} + 2\sqrt{2}) - 2\sqrt{3}\)...
If three children shares N10.50 among themselves in ratio 6:7:8, how much is the largest share? ...
Evaluate x2(x2 - 1)-\(\frac{1}{2}\) - (x2 - 1)\(\frac{1}{2}\)...
In the diagram, DE||BC, |AD| = x cm and |DB| = |AE| = ycm. Find |CE| in terms of x and y ...
A room is 12m long, 9m wide and 8m high. Find the cosine of the angle which a diagonal of the r...
Factorise completely the expression \((x + 2)^2\) - \((2x + 1)^2\) ...