Question

In the given figure, CD and FE are parallel lines. Find the value of x.

• A. ${12}^{\circ }$
• B. ${13}^{\circ }$
• C. ${14}^{\circ }$
• D. ${15}^{\circ }$

Answer 1

The correct option is B ${13}^{\circ }$



From point O, draw a line OP parallel to CD.
Thus, OP || CD || EF.
∠COP = ∠BCD = 4x [Corresponding angles]
∠EOP = ∠FEA = 6x [Corresponding angles]
Now, ∠COP + ∠EOP = ∠COE
⇒ $6x+4x={130}^o$
⇒ $10x={130}^o$
⇒ $x={13}^o$