Question

Find x and y using properties.​

Answer 1

Answer:

x=90°, y=20°

Step-by-step explanation:

In ΔAOE,

<OAE+<AOE+<AEO=180°

20°+<AOE+90°=180°

<AOE+110°=180°

<AOE=180°-110°

<AOE=70°

<AOE=<BOD(Vertically opposite angles)

<BOD=70°

<OAE=<ODB(Alternate interior angles)

<ODB=20°=y

In ΔBOD,

<OBD+<BOD+<ODB=180°

<OBD+70°+20°=180°

<OBD+90°=180°

<OBD=180°-90°

<OBD=90°=x