Math, asked by Vanya07996, 10 months ago

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Answered by amansharma264
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.

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Answered by ridhikashastri1307
1

Answer:

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that question

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