Question

Find x and y in the following, where DE║BC and AC=BC​

Answer 1

Answer:

y= 55° and x =70°

hope it helps

Answer 2

Answer:

y= 55° x=70°

Step-by-step explanation:

since DE║BC and AB is the transversal

∴∠BAD = ∠y = 55°  ∵interior alternate angles

since AC = BC; ΔABC is isosceles

Property of isosceles triangles⇒ angles opposite to equal sides are equal

∴ ∠y = ∠BAC = 55°

Now, sum of all angles of triangle = 180°

∴ ∠x+∠y+55° = 180°

∠x = 180 - 110   ∵∠y=55

∠x=70