Question

in in the given parallelogram ABCD find the value of x and y.​

Answer 1

Answer:

x = 36° and y = 37°

Step-by-step explanation:

As we can see,

∠ DAB + ∠CBA = 180° (linear pair)

3y + 2y - 5 = 180°

5y = 185

y = 37°

Now,

∠BCD + ∠CBA = 180° (linear pair)

3x + 3 + 2y - 5 = 180°

3x + 2(37) - 2 = 180°

3x = 180-72

3x = 108

x = 36°

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Answer 2

Step-by-step explanation:

3y° + (2y-5)° = 180° [Adjacent angles are supplementary in parallelogram]

=>5y° = 185°

=>y = 37°

3y°=3×37

= 111

3y° = (3x+3)° [Opposite angles are equal in parallelogram]

111° = (3x+3)°

111°-3° = 3x

108° = 3x

36° = x