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Given that the quadrilateral shown is a parallelogram. Use the properties of parallelograms to find x if ∠A = 133° and ∠D = (3x + 35)°. A) x = 2 B) x = 4 C) x = 5 D) x = 7 2) Use the properties of parallelograms to find x if ∠A = 122° and ∠C = (2x + 60)°. A) x = 27 B) x = 29 C) x = 31 D) x = 33

Respuesta :

(i)  Option B , x=4

(ii)   Option C, x=31

Step-by-step explanation:

Step 1:

Angle properties of parallelogram is as follows :

-   Opposite angles are equal

-   Adjacent angles are supplementary, i.e the sum of the adjacent angles are 180

Step 2:

∠A and ∠D  are adjacent and hence their sum is equal to 180

So, 133 + 3 x + 35 = 180

=> 3 x + 168   = 180

=>   3 x = 180-168 = 12

=>   x = 4

Step 3:

∠A and ∠C are opposite and hence they are equal

So, 2 x + 60 = 122

    2 x =  62

       x = 31

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