Question

From the figure find the value of x,y,z. AC parallel to ED

Answer 1

Answer:

Step-by-step explanation:

BE =BD  [given]

therefore triangle BED is isoceles

<E=<D [isoceles angle property]

therefore <B+<D+<E=180[angle sum]

50+2<D=180[isoceles angle property]

<D=(180-50)/2=130/2=65

<D=65

<CBD=<D [ alternate interior angle]

<CBD=65

<AEB+<EBD+<CBD=180[ angle sum ]

<AEB+50+65=180

<AEB=180-115

<AEB=65

therefore x=65, y=65 and z=65