Question

If two adjacent angles of a parallelogram are in the ratio 1:3 then find its all angles

Answer 1

Heya !!


Let two angles are X and 3X.



As we know that sum of two adjacent angles of a parallelogram is 180°.



So,


X + 3X = 180


4X = 180

X = 180/4 = 45°



First angle = X = 45°


and,


Second angle = 3X = 3 × 45 = 135°.



Therefore,


All four angles of are 45° , 135° , 45° and 135°.

Answer 2

HEYA!
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Let the angles be x and 3x respectively.

Now , the sum of adjacent angles of a parallelogram = 180 deg.

Therefore ,

x + 3x = 180

4X= 180

x= 45

Hence the adjacent angles are 45 deg. And 45×3 = 135 deg.

The remaining angles = 45= 45 and 135=135 { opposite angles of parallelogram are equal )

Hence the four angles are 45, 45 , 135 and 135 degrees .


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