Question

show that A+B+C+D+E+F = 360°​

Answer 1

Answer:

Step-by-step explanation:

Now we know the angle sum property of triangle which says that All angles of a triangle sum up to 180 degree.

Now taking triangle AEC

angle A + angle E + Angle c = 180 degree ______ (I)

Now taking triangle FBD

angle F + Angle E + Angle D = 180 degree_____(II)

Adding equation (I) and (II)

WE get-

Angle A + B + C + D + E + F = 180 degree + 180 degree = 360 degree

Hence prove

Hope it helps

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Answer 2

Answer:

Proved

Step-by-step explanation:

In Triangle AEC,

Angle A+Angle E+Angle C=180° (Sum of property of Triangle) ------------> eq 1

In Triangle BFD,

Angle B+Angle F+Angle D=180° (Sum of property of Triangle) ------------> eq 2

Adding eq 1 and eq 2,

Angle A+Angle B+Angle C+Angle D+Angle E+Angle F=360°

Hence Proved