Question

Find the value of x and y in the following figure​

Answer 1

Answer:

x = 30° and y = 150°

Step-by-step explanation:

x = 180 - (80+ 70). (Triangle sum property)

x = 180 - 150

x = 30

y = 180 - x. (Linear pair with x)

y = 180 - 30

y = 150

Answer 2

$\huge\fcolorbox{white}{pink}{ANSWER :}$

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$\bold\red{x = 150° , y = 30°}$

Step-by-step explanation:

LET THE ANGLES OF THE △BE 'A' , 'B', 'C' AND THE EXTENDED LINE BE 'D'.

=> ∠ABC + ∠CAB + ∠y = 180° [∠ sum property]

=> 70° + 80° + ∠y = 180°

=> 150° + ∠y = 180°

=> ∠y = 180° - 150°

∴ ∠y = 30°

From the figure, we knew that ∠ACB and ∠ACD are adjacent angles.

So, x + y = 180° [∵ ACB = x , ACD = y]

=> x + 30° = 180°

=> x = 180° - 30°

∴ ∠x = 150°

HENCE, x = 150° and y = 30°

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