if AB is parallel to DE then find x
Please find the attachment for figure
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Answered by
0
Answer:
240
Step-by-step explanation:
Draw LM parallel through AB and DE passing through C.
<ACM = 180 - <BAC (Co-interior Angles)
Therefore <ACM=140
<DCL = 180 - <CDE (Co-interior Angles)
Therefore <DCM = 100
Therefore angle x=240
Answered by
1
Answer:
X = 240°
Step-by-step explanation:
Given : AB || DE
angle A = 40°
angle D = 80°
- First extend AC TO DE.
- LET , AC meet DE at F.
(REFER TO THE ATTACHMENT)
- Now AF act as transversal of AB || DE.
- angle BAC = angle CFD [ Alternative Interior Angles ] = 40°
In Triangle CFD , angleC + angleF + angleD = 180°
=> angle C + 40° + 80° = 180°
=> angle C + 120° = 180°
=> angle C = 180° – 120°
=> angle C = 60°
X = 180° + angle C
=> X = 180° + 60°
=> X = 240°
THEREFORE , X = 240°
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