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The measures of the opposite angles of a parallelogram are (3x-2) degree and (50-x) degree.find the measure of each angle of the parallelogram

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by anahita

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by anahita

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Given measures of the opposite angles of a parallelogram are (3x-2) and (50-x)

We know that opposite angles of a parallelogram are equal

⇒ 3x-2 = 50-x

⇒4x=52

⇒x=13 .

the angles are : (3×13)-2 = 39-2 = 37 degrees

50-13 = 37 degrees .

We know that opposite angles of a parallelogram are equal

⇒ 3x-2 = 50-x

⇒4x=52

⇒x=13 .

the angles are : (3×13)-2 = 39-2 = 37 degrees

50-13 = 37 degrees .

3x-2=50-x

=> x=13º

Angles are --> 1) 37º

2) 143º

3) 37º

4) 143º

[Because Adjacent sides of a parallelogram are supplementary.]