Question

Question 1. In the adjoining figure AB || CD || EG, find the value of x.

Answer 1

Answer:

x= 55°

draw a parallel line AD||FG and the use sum of adjacent angle of two parallel line.

Answer 2

Answer:

x = 55°

Step-by-step explanation:

From the figure, it is clear that AB || FE.

By Co-interior angles,

  ∠ABE + ∠FEB = 180°

⇒ 127° + ∠FEB = 180°

⇒ ∠FEB = 53°

Similarly, CD || EG

By Co-interior angles,

  ∠DCE + ∠CEG = 180°

⇒ 108° + ∠CEG = 180°

⇒ ∠CEG = 72°

Now consider line FEG.

By Linear pair of Angles,

∠FEB + ∠BEC + ∠CEG = 180°

⇒ 53° + x + 72° = 180°

⇒ x + 125° = 180°

⇒ x = 55°

∴ The value of x = 55°