In the Figure below, AB is Parallel to
EF Find the value of x
Answers
Answered by
0
Answer:
x=28
Step-by-step explanation:
∠CEF+∠ECD=180
o
(Angles on same side of transversal)
∠ECS=180−152−28
o
∠ABC=∠BCD
(opposite angles)
∠ABC=x
o
+∠ECD
⇒56
o
=x
o
+28
o
⇒x
o
=56
o
−28
o
⇒x=28
o
.
Answered by
0
Produce EF to intersect AC at point N.
From figure, ∠BAC = 57° and
∠ACD = 22°+35° = 57°
Alternative angles of parallel lines are equal
BA || EF …..(1)
Sum of Co-interior angles of parallel lines is 180°
EF || CD
∠DCE + ∠CEF = 35 + 145 = 180° …(2)
From (1) and (2)
AB || EF [Since, Lines parallel to the same line are parallel to each other]
Hence Proved.
HOPE THIS WILL HELP YOU
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