Question

please answer this question this is very important for me​

Answer 1

Answer:

Step-by-step explanation:

We know that opposite angles of a parallelogram are equal

So

<A = < C -------1

and

<B = <D----------2

but

<A+<B+<C+<D = 360 --- ------ angle sum property of a quadrilateral

2<A + 2<B = 360 ------- from 1 and 2

2( <A + <B) = 360

< A + <B = 180

3x + 12 + 2x - 32 = 180

5x -20 = 180

5x = 200

x = 40

∴<A = 3(40) + 12 = 120 + 12 = 132

< B = 2(40) -32 = 80 - 32 = 48

but

< A = < C

< C = 132 °

and

<B = <D

<D = 48°

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