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(a) In the figure (1) given below, ABC is an equilateral triangle. Base BC is produced

to E, such that BC’= CE. Calculate ∠ACE and ∠AEC.

(b) In the figure (2) given below, prove that ∠ BAD: ∠ ADB = 3: 1.

(c) In the figure (3) given below, AB || CD. Find the values of x, y, and ∠.

Answer:

(a) in the following figure

Given. ABC is an equilateral triangle BC = CE

To find. ∠ACE and ∠AEC

As given that ABC is an equilateral triangle,

"hey guys welcome to lido q a video
i am vinit your leader tutor bringing
you this question on your screen
in the figure one given below abc is an
equilateral triangle
bc is produced to e
such that bc is equal to c calculate
ace and angle aec
so angle ac is this
an angle aec is
this right now
since triangle abc
is equilateral
angle abc
is equal to angle acb is equal to
angle cab is equal to 60 degree
right because equilateral triangle
great
now angle
angle ace is equal to
angle abc plus angle
ca b because
exterior angle
property
is equal to 60 degree plus 60 degrees
is equal to 120 degree
this is our first answer
now this is 120 degrees
these two are bases right
since triangle ace
is isosceles angle aec
equal to angle cae
now angle aec plus
angle cae equal to 180 degree
minus 120 degrees
again angle sum
property right
therefore we can say
twice angle aec
is equal to 60 degrees this implies
angle aec is equal to 30 degrees
isn't that easy guys right so
if we still have a doubt please leave a
comment below
we'll try to get back to you do like the
video and subscribe to our channel
i will see you in our next video until
then
bye guys keep practicing"

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