Question

From the fig 10 If AB CD ,EDC = 30°,BAE = 130°.Find the measure of AED.

Answer 1

Answer:

80°

Step-by-step explanation:

Sum of angles of a quadrilateral=360°

Draw a line from D perpendicular to line AB at O

then, angle AOD=90°

angle EDO=90°-30°=60°

Since,the sum of angles of a quadrilateral with 4 sides is 360°

Therefore, angle AED=360°-(90°+60° +130°)

=360°-280°=80°

Answer 2

Answer:

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Draw a line parallel to CD and AB

AEF + EAF = 180 (sum of internal angles is 180 )

130 + x = 180

x = 180 -130

x = 50 -------------- 1

FED = EDC ( Alternate interior angles

30 = 30

x = FED + FEA

x = 50 + 30

x = 80

diagram in the attachment

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