Question

show that the sum of angle of quadrilateral is 360 degree

Answer 1

Answer:

Step-by-step explanation:

Draw any quadrilateral ABCD. Draw diagonal BD. The diagonal BD divides the quadrilateral ABCD into 2 triangles, namely ABD and CBD.

Using angle sum property in triangle ABD:

angle A + angle ABD + angle ADB = 180    ....1

angle C + angle CBD + angle CDB = 180    ....2

Adding equations 1 and 2

angle A + angle ABD + angle ADB + angle C + angle CBD + angle CDB = 180 +180

angle A + angle B + angle C + angle D  = 360

hence proved