Question

two opposite angles of a paralleogram are (3x - 2)° and (50 - x)° . find the meaure of each angle of the parallelogram​

Answer 1

Answer:

37 , 143 , 37 , 143

Step-by-step explanation:

We know that ,

Opposite angles of parallelogram are equal

=> 3x - 2 = 50 -x

=> 4x = 52

=> x = 13

First angle = 3 × 13 - 2 = 37

Second angle = 180 - 37 [ adjacent angles are supplementry ]

= 143

Third angle = First angle = 37° [ opposite angles of parallelogram are equal ]

Similarly ,

Fourth angle = Second angle = 143°

Answer 2

${ \sf{ \underline{Hey !}}}$

Given that ,

→ Opposite angles of parallelogram are (3x-2)° and (50-x)°

Using the fact that opposite angles of a parallelogram are equal

•°• We can equate the given opposite angles

→ 3x - 2 = 50 - x

→ 3x + x = 50 + 2

→ 4x = 52

$\implies \: x = \dfrac{52}{4} = 13$

Therefore the value of x = 13

Angle 1 = Angle 3 = > ( 3 × 13 - 2) = 37°

Angle 2 = Angle 4 => 180 - 37 =143°

[ As sum of adjacent angles of a || gram is 180]

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