Question

Find the value of ‘x’ & ‘y’ in the given diagram :​

Answer 1

Answer:

y = 127°, x = 53°

Step-by-step explanation:

As the two lines bisect each other, so

y = 127°

y +y + x + x = 360°

or, 2y + 2x = 360°

or, 2 × 127 + 2x = 360°

or, 254 + 2x = 360

or, 2x = 360 - 254

= 106

or, x = 106/2 = 53°

I hope it helps.

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Answer 2

Step-by-step explanation:

x + 127° = 180° [ linear pair ]

=> x = 180° - 127°

=> x = 53°

x + y = 180° [ linear pair ]

=> y = 127° [ vertically opposite angles ]