Question

in fig 4.157,find the value of x .
PLEASE GIVE ME A EXPLAINED ANSWER ​

Answer 1

Answer:95°

Step-by-step explanation:

Use exterior angle property in ABC which gives angle ACD=100° using alternate angle property angle ECD = 65° now use triangle's angle sum property inECD and u get 20+65+x=180

x= 95°

Answer 2

Answer:

hey here is ur answer..........................................

Step-by-step explanation:

<CDE=20°

<CED=we have to find

now we have find <ACB to find <ECD

<ABC=55°

<BAC=45°

<ACB⇒<ABC+<BAC

⇒45°+55°

⇒100°

SO,SINCE  IF USE ANGLE SUM PROPERTY

180°-100°=80°

SO,<ACB=80°

<ACB+<ACE+<ECD=180°

80°+35°+<ECD=180°

115°+<ECD=180°

<ECD=180°-115°

<ECD=65°

<ECD+<CDE+<DEC=180°

65°+20°+<DEC=180°

85°+<DEC=180°

<DEC=180°-85°

=95

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