Question

find the value of x and y if bc parallel to ad and angle a=x-6 degree angle c=4 degree and angle b=3y-6 degree​

Answer 1

In △ADE and △ABC

∠ADE=∠ABC (As DE∥BC) Corresponding angles

∠AED=∠ACB (As DE∥BC) Corresponding angles

∠DAE=∠BAC (common angle)

∴△ADE∼△ABC by AAA

⇒

7

3

=

x

2

⇒x=4.7cm