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11-11-2016
Mathematics

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if ABCD is a parallelogram,find m>D and angle C=(9×-1) and angle A=(13×-25)

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Аноним Аноним

11-11-2016

Opposite angels are congruent (A = C)
13x - 25 = 9x -1
13x - 9x = -1 + 25
4x = 24
x = 24/4
x=6

m<C =9×-1
= 9 (6) -1
= 54 -1
=53

m<C + m<D = 180 (Consecutive angles are supplementary)
53 + m<D = 180
m<D = 180 -53
m<D = 127

answer: m>D = 127

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