Question

find the value of x and y with solution​

Answer 1

Step-by-step explanation:

angle x = (linear pair) 90°+angle D+x

= 45°...

angle y = (sum of all angles is 360°) 55°+45°+y = 360

= 260°

Answer 2

Answer:

x = 35°

y = 90°

Step-by-step explanation:

In the figure,

AB║CE

∴∠ABC = ∠ECD = 55° (corresponding angles)

Also,

∠x + ∠ACE + ∠ECD = 180° (angles on a straight line)

⇒ ∠x + 90° + 55° = 180°

⇒ ∠x                    = 180° - 145°

⇒ ∠x                     = 35°

Now In ΔABC,

∠B + ∠y + ∠x = 180° (angle sum property)

⇒ 55° + ∠y + 35 = 180°

⇒ ∠y                   = 180° - 90°

⇒ ∠y                   = 90°

∴ x = 35° and y = 90°