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Answers
Answer:
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Step-by-step explanation:
1st part .......... in figure CE parallel to AB and AC is a transversal so
angle BAC = angle ACE (alternate so angle ACE = 40°
2nd part .... now in triangle angle A+ angle B + angle C = 180
40° + 70° + angle C = 180
110 + angle C = 180
Angle C = 70 °
angle ACB = 70
now
Angle ACB + ACE + ECD = 180 ( angle on straight line )
70 + 40 + ECD = 180
ECD = 70
3rd part ......... now angle ACD =
angle ACE + CED
so 70 + 70 = 110
Step-by-step explanation:
To Prove ABC + ACD = 2A C
AL in the angle bisector of A, so let BAL = LAC = x
Then, using exterior angle property
∠ALC = x + alpha ..(1)
Similarly
∠ACD= 2x + ..(2)
Hence from (1) and (2), we get
ABC + ACD = 2ALC
(i.e.)
( alpha ) + (2x + alpha ) = 2(x + alpha )
HENCE PROVED