Question

The adjacent angels of a parallelogram are x° and (2x+30)°. Find all the angles of the parallelogram.

Answer 1

X(x+30)=180,3x=150, x=150/3=50 then x=50 and (2×40+30)=180 in the parallelogram opposite angles are equal

Answer 2

Let ABCD is a parallelogram .

<A = x° , <B = 2x + 30

<A + <B = 180°

[ Sum of adjacent angles are supplementary ]

x + 2x + 30 = 180°

=> 3x = 180- 30

=> 3x = 150

x = 150/3

x = 50

Therefore,

<A = x° = 50°

<B = 2x + 30 = 2×50 + 30 = 130°

<A = <C = x° = 50°

<B = <D = 130°

[ Opposite angles are equal ]


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