Question

In the given figure AB || CD, CD || EF and Y : Z = 5 : 11 then find x.

• A. 150°
• B. 123.75°
• C. 140.45°
• D. 150.90°

Answer 1

Answer:

B. 123.75°

Solution: Here from the property, ”sum of the interior angles on the same side of the cutting line is equal to 180° ”, x + y = 180°, also x = z from the property “alternate angles are equal .” So, y : z = y : x = 5 : 11 ∴ x = 11/16 of 180° ⇒ x = 123.75°