Question

find the value of x : А 65° xo 30° B C) D​

Answer 1

Answer:

Solution

verified

Verified by Toppr

If DE∣∣AB, then ΔCDE∼ΔABC

By property of similar triangles:

ACCD=BCCE

⟹4x+22x+3=4x+4x

Cross-multiplying:

(x+3)(4x+4)=x(4x+22)

⟹4x2+16x+12=4x2+22x

12=6x⟹x=2

Answer 2

Answer:

If DE∣∣AB, then ΔCDE∼ΔABC

By property of similar triangles:

AC

CD

=

BC

CE

⟹

4x+22

x+3

=

4x+4

x

Cross-multiplying:

(x+3)(4x+4)=x(4x+22)

⟹4x

2

+16x+12=4x

2

+22x

12=6x⟹

x=2