Question

In adjacent figure, find:

∠A,∠B,∠C,∠D,∠E,∠F​

Answer 1

$\LARGE\sf {\underline{\underline\green{Required \:  Answer:-}}}$

We know that the sum of the angles of a triangle is 180⁰.

$\therefore \sf \: {In \: ∆ACE, we \: have ∠A + ∠C + ∠E = {180}^{0}........(i) }$

$\therefore\sf{In ∆BDF, we \: have ∠B + ∠D + ∠F = {180}^{0}........(ii) }$

Adding the corresponding sides of (i) and (ii), we get:

$\sf{(∠A + ∠C + ∠E) + (∠B + ∠D + ∠F) = 180⁰ + 180⁰.</p><p>}$

$\implies \sf{∠A + ∠B + ∠C + ∠D + ∠E + ∠F = 360⁰}$

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Answer 2

$\LARGE\sf {\underline{\underline\green{Required \:  Answer:-}}}$

We know that the sum of the angles of a triangle is 180⁰.

$\therefore \sf \: {In \: ∆ACE, we \: have ∠A + ∠C + ∠E = {180}^{0}........(i) }$

$\therefore\sf{In ∆BDF, we \: have ∠B + ∠D + ∠F = {180}^{0}........(ii) }$

Adding the corresponding sides of (i) and (ii), we get:

$\sf{(∠A + ∠C + ∠E) + (∠B + ∠D + ∠F) = 180⁰ + 180⁰.</p><p>}$

$\implies \sf{∠A + ∠B + ∠C + ∠D + ∠E + ∠F = 360⁰}$

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