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Step-by-step explanation:
We know that the sum of all the angles in triangle ACE is 180
∠A+∠C+∠E=180 ..(1)
We know that the sum of all the angles in triangle BDF is 180
∠B+∠D+∠F=180 ..(2)
Now by adding both equations (1) and (2) we get
∠A+∠C+∠E+∠B+∠D+∠F=180 +180
On further calculation
∠A+∠B+∠C+∠D+∠E+∠F=360
Therefore, it is proved that ∠A+∠B+∠C+∠D+∠E+∠F=360
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As we can see in the figure there are two triangles ie ABC and DEF
and we know that the sum of interior angles of a triangle is 180 so
A + B+C+D+E+F =180 +180
A+B+C+D+E+F = 360degree
and we know that the sum of interior angles of a triangle is 180 so
A + B+C+D+E+F =180 +180
A+B+C+D+E+F = 360degree
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