Question

the adjacent angles in a parallelogram are (3x+10°) and (x+20°).find the measures of the four angles​

Answer 1

Solution:

Let ABCD is a parallelogram.

<A = 3x+10, <B = x+20

<A+<B = 180°

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Sum of Adjecent angles

are supplementary in a parallelogram.

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3x+10+x+20 = 180°

=> 4x = 180-30

=> 4x = 150

=> x = 150/4

=> x = 37.5°

Now ,

<A = <C = 3x+10

= 3×37.5+10

= 122.5°

And

<B = <D = x+20

= 37.5 + 20

= 57.5°

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Opposite angles are equal

in a parallelogram

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