Q. 75.0( 1 Vote )

The opposite angles

Answer :




(3x + 5) = (61 - x) (Opposite angles of a parallelogram are equal)

3x + x = 61 - 5

4x = 56x

x=

x = 14o

3x + 5 = 3(14) + 5 = 42 + 5 = 47o

61 - x = 61 – 14 = 47o

Angle adjacent to one of the above angle = 180o – 47o

= 133o (Sum of adjacent angles in a parallelogram is 180o)

Fourth angle = 133o (Opposite angles of a parallelogram are equal)

Therefore the four angles in a parallelogram are 47o, 133o, 47o and 133o

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