please answer this question
Attachments:
Answers
Answered by
3
EXPLANATION
In the following figure
GIVEN
∆ABC in which ab, bc, ca are produced
to d, e, f
TO PROVE
<DAC + <FAE + <FBD = 180°
PROOF
For the figure we know that
<DCA = <A + <B....(1)
<FAE = <B + <C.....(2)
<FBD = <A + <C......(3)
By adding the equation (1) and (2) and (3)
we get,
<DCA + <FAE + <FBD = <A + <B + <B + <C +<A + <C
we get,
<DCA + <FAE + <FBD = 2<A + 2<B + 2<C
as we know that the sum of all the angels of
triangle is 180°
so we get,
<DCA + <FAE + <FBD = 2(180°)
<DCA + <FAE + <FBD = 360°
Hence proved.
Attachments:
Answered by
1
Answer:
my sister and i share the same account and it was her hw so she asked
that question
Similar questions