Question

In the
LBAO= 80 find u fq
given figure, ABlloc, LB D C = 352
35
4-30
280
ud​

Answer 1

Step-by-step explanation:

From the question,

CE∥BA,∠BAC=80

o

,∠ECD=35

o

Now,

(i) ∠BAC=∠ACE=80

o

....[∴ Alternate angles]

(ii) ∠ACB,

=∠ACB+∠ACD=180

o

....[∴ Linear pair]

=∠ACB+∠ACE+∠ECD=180

o

=∠ACB+80+35=180

=∠ACB+125=180

=∠ACB=180−115

=∠ACB=65

o

(iii) ∠ABC

Let us consider △ABC,

∠ABC+∠ACB+∠BAC=180

o

=∠ABC+65+80=180

o

=∠ABC+145=180

=∠ABC=180−145

=∠ABC=35