Question

find x and y in the parallelograms​

Answer 1

Answer:

$x = 80 \\ \\ y = 100.$

Step-by-step explanation:

$y + 80 = 180 \\ \\ y = 100. \\ \\ \\ \\ x = 80.$

Answer 2

Answer:

x = 80°, and y = 100°.

Step-by-step explanation:

As it is a parallelogram, AB || CD and AC || BD.

∠ACD = 80° (Alternate Interior angles are equal, AB || CD, AC transversal)

$\longrightarrow$ ∠ACD + y° = 180° (Linear pair on straight line AC)

$\longrightarrow$ y° = 180° – ∠ ACD

$\longrightarrow$ y° = 180° – 80°

$\longrightarrow$ y° = 100°

$\longrightarrow$ ∠ABD = x° (VOA)

$\longrightarrow$ x° = 80° (Corresponding angles, AC || BD, AB transversal)

Therefore, x = 80°, and y = 100°.