Question

ABCD is a parallelogram in which angle adc =75 and side ab is produced to point E as shown in the figure find x+y ​

Answer 1

Answer:

Opposite angles are equal in parallelogram so

CBA = 75 , and y = 180 - 75 = 105°

Now sum of adjacent angles in parallelogram is

also 180 so , x = 180 - 75 = 105°

So x + y = 210°

Answer 2

Step-by-step explanation:

Given: ∠$ADC=75$°

To find: $x+y$

For calculation of $y$,

We know that opposite angles in a parallelogram are equal,

∴ ∠$CBA=75$°

⇒ $y=$ $180$°$-$ ∠$CBA$

⇒ $y=180-75$

⇒ $y=105$°

For calculation of $x$,

We know that sum of adjacent angles in a parallelogram is $180$°,

⇒$x=$ $180-75$

⇒ $x=105$°

For calculation of $x+y$,

⇒ $105+105$

⇒ $210$°

The sum of $x+y$ is $210$.