Question

In the given figure, find the values of x and y and then show that AB।।CD.​

Answer 1

Answer:

x = 130 and y = 130

Step-by-step explanation:

Solution,

50 + x = 180 ( being angles in straight line)

x = 180 - 50

x = 130

y = x ( being alternate angle)

y = 130

Answer 2

$\large\sf{\angle{AEG}+\angle{AEH}=180°}$

$\large\sf{50°+x=180°}$

$\large\sf{\angle{x}=180°-50°}$

$\large\sf{\angle{x}=130°}$

$\large\sf\green{Here,y\:is\:alternate}$

$\large\sf\red{opposite\:angle}$

$\large\sf{\angle{y}=130°}$

$\large\sf\purple{Here,\angle{x}=\angle{y}}$

$\large\sf\orange{line\:AB||CD}$