Question

in the given figure find the value of
A+b+c+d​

Answer 1

Answer:

360

Step-by-step explanation:

because the figure is quadrilateral and sum of all interior angles of a quadrilateral is 360

Answer 2

Answer:

a+b+c+d=720°-(x+y+z+w)

(in terms of x,y,z,w)

a+b+c+d=360°

Step-by-step explanation:

In the given figure:-

a+x=180°

(linear pair)

a=180°-x--------(1)

b+y=180°

(linear pair)

b=y-180°------(2)

c+z=180°

(linear pair)

c=180°-z------(3)

d+w=180°

(linear pair)

d=180°-w------(4)

On adding above all equations

(1)+(2)+(3)+(4)

a+b+c+d=180°-x+180°-y+180°-z+180°-w

a+b+c+d=180°+180°+180°+180°-(x+y+z+w)

a+b+c+d=720°-(x+y+z+w)

sum of exterior angles =360°

a+b+c+d=720°-360°

a+b+c+d=360°

(or)

a+b=180°

c+d=180°

a+b+c+d=180+180°

a+b+c+d=360°

(interior angles of a quadrilateral)