In the adjoining figure- the value of - A - B - C - D - E - F in degrees isA- 320B- 400C- 300D- 360

The correct option is D 360 From ABC ∠ A+ ∠ B + ∠ C = 180^∘ From DEF ∠ D + ∠ E + ∠ F=180^∘ So, adding these ∠ A + ∠ B + ∠ C + ∠ D + ∠ E+ ∠ F =1 80^∘ + 180^∘ = ...

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Byju's Answer

Standard VII

Mathematics

Angle

In the adjoin...

Question

In the adjoining figure, the value of $∠ A + ∠ B + ∠ C + ∠ D + ∠ E + ∠ F$ in degrees is ___.

360°

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300

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320

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400

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Solution

Clearly, the figure contain the triangles $△$ $A B C$ and $△$ $D E F$ .
Since, the sum of the angles of a triangle is equal to $180^{\circ}$
From $△$ $A B C$

$∠ A + ∠ B + ∠ C = 180^{\circ}$ ---(1)

From $△$ $D E F$

$∠ D + ∠ E + ∠ F = 180^{\circ}$ ---(2)

So, adding these

$∠ A + ∠ B + ∠ C + ∠ D + ∠ E + ∠ F = 1 80^{\circ} + 180^{\circ} = 360^{\circ}$
Hence, Option D is correct.

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Similar questions

In the adjoining figure, the value of $∠ A + ∠ B + ∠ C + ∠ D + ∠ E + ∠ F$ in degrees is

___

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Question 22

In the given figure, the value of
$∠ A + ∠ B + ∠ C + ∠ D + ∠ E + ∠ F$ is

a) $190^{\circ}$
b) $540^{\circ}$
c) $360^{\circ}$
d) $180^{\circ}$

Q. In the adjoining figure, AD and BE are the medians of ∆ABC and DF || BE. Show that

C F = \frac{1}{4} A C

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In the adjoining figure, the value of ∠A+∠B+∠C+∠D+∠E+∠F in degrees is ___.

Clearly, the figure contain the triangles △ABC and △DEF.Since, the sum of the angles of a triangle is equal to 180∘From △ABC ∠A+∠B+∠C=180∘ ---(1) From △DEF ∠D+∠E+∠F=180∘ ---(2) So, adding these ∠A+∠B+∠C+∠D+∠E+∠F=180∘+180∘=360∘Hence, Option D is correct.

In the adjoining figure, the value of $∠ A + ∠ B + ∠ C + ∠ D + ∠ E + ∠ F$ in degrees is ___.