Question

In a parallelogram ABCD if LA =(2x + 25 )° and LB = (3x-5)° find the value of x and the measures of each angle of
the parallelogram.
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Answer 1

Answer:

In ∥gm opposite angles are supplementary.

Therefore,

                 ∠B+∠D=180∘

             2x+25+3x−5=180∘

                     x=5180−20=32

    ∠B=2x+25=(2∗32)+25=89∘

    ∠D=3x−5=(3∗32)−5=91∘