Question

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

Answer 1

Answer:

x = 150° , y = 30°

Step-by-step explanation:

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

70° + 80° + y = 180°ㅤㅤ[ANGLE SUM PROPERTY]

=> 150° + y = 180°

=> y = 180° - 150° = 30°

∴ y = 30°

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

=> ∠x + ∠y = 180°

=> ∠x + 30° = 180°

=> ∠x = 180° - 30° = 150°

∴ x = 150°

Hope this helps you :)

Answer 2

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