Question

5. In the adjacent figure, ABCD is a trapezium in which AB || DC. Find the value of (a) (b) y + z. D С х 130° Z A B​

Answer 1

Step-by-step explanation:

Since the diagonals of trapezium divide each other proportionally.

∴

OC

AO

=

OD

BO

⇒

x−5

3x−19

=

3

x−3

⇒ 3(3x−19)=(x−5)(x−3)

⇒ 9x−57=x

2

−8x+15

⇒ x

2

−17x+72=0

⇒ (x−8)(x−9)=0

⇒ x−8=0 or x−9=0

⇒x=8 or x=9

i hope it's helpful