Question

A B C D is a parallelogram. Use the information
given in the diagnam to find the values of x,y and
B 4)
(3x+14) cm
Z
с C
4+4
Y
木人
3yts
24°
z
て
(2x + 25 cm​

Answer 1

Answer:

Since ABCD is a parallelogram, AB∥DC and AD∥BC

Now, AB∥DC and transversal BD intersects them.

∴∠ABD=∠BDC since alternate angles are equal.

⇒10x=60

∘

⇒x=

10

60

∘

=6

∘

And, AD∥BC and transversal BD intersects them.

∴∠DBC=∠ADB

⇒4y=28

∘

⇒y=

4

28

∘

=7

∘