1.

In a pentagon ABCDE,ab is parallel to ed and angle b=140° find the angles c and d if angle c : angle d = 5:6

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Answer:

Heya............❤✌

since,AB||ED and AE is the transversal

ANGEL A + angel E =180°{SUM of interior angles on the same side of transversal}

Given,

angle B= 142°,angle C=3x and angle D= 2x

we know that sum of angles in a Pentagon=540°

hence,angle A,+ angle B + angle C + angle D +

angle E = 450°

=>180°+142°+3x+2x= 540°

=>322°+ 5x= 540°

=>5x= 540°-322°=218°

=>x=218/5

=>x = 43.6°

Hope it’s helpful...... ☺



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