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Question

Find the measure of all the angles of a parallelogram , if one angle is 24 less than twice the smallest angle.


Solution

Let smallest angle of the ||gm = x

Then second angle = 2x24

But these are consecutive angles

x+(2x24)=180

x+2x24=180

3x=180+24=204

x=2043=68

Smallest angle = 68

and second angle = 2×6824

=13624=112

The opposite angles of a || gm are equal

Other two angles will be 68 and 112

Hence angles are 68,112,68,112

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