Question

in the given figure find the value of angle A + angle B + angle C + angle D + angle E + angle F​

Answer 1

Answer:

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Step-by-step explanation:

In triangle ACE

ACE + CAE + AEC = 180 [Angle sum property ]

x+x+x = 180

3x = 180

x = 60

similiarly

In triangle BDF

x = 60

so

According to question

60 + 60 + 60 + 60 +60 +60 = 360

ANSWER = 360

Answer 2

The value of the given sum is 360°.

Given:

A figure is given with vertices A, B, C, D, E, and F.

To Find:

we need to find the sum of all the interior angles.

Solution:

Consider triangle ACE,

we know that the sum of the angles in a triangle is 180°( angle sum property)

$angle \: A + angle \: C + angle \: E = 180°$

Now consider the triangle BFD.

$angle \: B + angle \: F+ angle \: D = 180°$

Now adding these two equations we get

$angle \: A + angle \: B+ angle \: C + angle \: D+ angle \: E + angle \: F = 360°$

Therefore, the answer is 360°.

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