Question

In the given figure, prove that m || n.​

Answer 1

Let the angle be x .

angle x = angle A = ( Corresponding Angles)

angle a = angle D ( Alternet interior angle )

In triangle DCB:

Sum of all angles = 180 degree

angle 1+ angle 2 + angle 3= 180 degree

angle 1 + 38 degree + 25 degree = 180 degree

angle 1 + 63 degree = 180 degree

angle 1 = 180 degree - 63 degree = 117 degree

angle D + angle 1 = 180 degree ( Linear Pair )

angle D + 117 degree = 180 degree

angle D = 180 degree - 117 degree = 63 degree

In Angle MDB:

Angle x = Angle D = 63 degree ( Vertically Opposite Angles)

angle x = angle A = 63 degree ( Corresponding Angles)

Angle D = Angle A = 63 degree ( Alternate Interior angle

Therefore M parallel to N as the Corresponding Angles and the Alternate Angles are equal.

Hence Proved

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Answer 2

Answer:

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