Question

In the figure adjacent figure ray BA parallel ray CD from the information given in the figure find the value of x
this is a figure ok ​

Answer 1

Answer:

The answer is 40° .

hope it's helpful . refer the attachment .

Answer 2

The measure of angle x is 40°.

Step-by-step explanation:

• To solve the given question, construction is required.
• The line BA should be extended to G to cut line CE at F. (see attached figure)

• Now, Since, AB is parallel to CD, AF should also be parallel to CD.

Hence,

∠DCF + ∠CFG = 180° ( angles on same side of transversal)

100° + ∠CFG = 180°

∠CFG = 180° -  100° = 80°

• So, ∠EFB = ∠CFG = 80° ( vertically opposite angles)

• Also, ∠ABE + ∠EBF = 180° (linear pair)

120° + ∠EBF = 180°

∠EBF = 180° -  120° = 60°

• Now, In triangle BEF,

∠BEF + ∠EBF + ∠EFB = 180° (angle sum property of a triangle)

x + 60° + 80° = 180°

x = 180° -  140° = 40°

Hence, the measure of x is 40°.