Question

the sides of BA and DC of quadrilateral ABCD are produced as shown in the figure. Prove that x+y = a+b​

Answer 1

Answer:

see below

Step-by-step explanation:

by angle - sum prop of quadrilateral...

< DAB + <DCB + x + y = 360°

by linear pair axiom....

< DAB = 180° - b & <DCB = 180° - a

now... substitute....

(180° - a) + (180° - b) + x + y = 360°

-a + -b + x + y + 360° = 360°

-a + -b + x + y = 0

x + y = a + b

proved