Question

In the figure, AB || PO and BC || OQ. Value of 2x - y is:

• A. 50°
• B. 80°
• C. 130°
• D. 100°

Answer 1

Answer:

A. 50°

Solution: Solution: As AB∥PO, and BC is transversal. x = y (corresponding angles) . . .(i) and BC is straight line, then sum of all angles to the one side of the line is always 180°. y + ∠PCB = 180° ⇒ ∠PCB = 180° - y . . .(i) and BC || OQ and PO is the transversal. ∠PCB = (corresponding angles) From equation (ii), 180° - y = 130° ⇒ 180° - 130° = y ⇒ y = 50° using (i), x = y = 50° ⇒ 2x - y = 100° - 50° = 50° Thus, the value of 2x - y is 50°.