Question

Find the Angle x and y respectively in the given figure​

Answer 1

In △TCE, we have

x=∠TCE+∠TEC (Exterior angle property)

⇒x=35 o +31 o

⇒x=66 o

In △SBD , we have

∠AST=∠SBD+∠SDB

∠AST=30 o +36 o =66 o

In △ATS, we have

y+x+∠AST=180 o (Angle sum property)

⇒y+66

66 o =180 o

⇒180 o −(66 o +66 o )