AB parallel toDC & AEparallel toBC , angle E D C equals 132 degree,angle A E D equals 3 x degree.Find x.

Asked by araima2001 | 3rd Aug, 2015, 10:23: AM

Expert Answer:

For the given pentagon, angle A , B and C are not specified. Assuming them to be right angles, we proceed as follows:
Sum of all angles of a pentagon is 540o.
angle A plus angle B plus angle C plus angle D plus angle E equals 540 to the power of o rightwards double arrow 90 to the power of o plus 90 to the power of o plus 90 to the power of o plus 132 to the power of o plus 3 x equals 540 to the power of o rightwards double arrow 3 x equals 540 to the power of o minus open parentheses 90 to the power of o plus 90 to the power of o plus 90 to the power of o plus 132 to the power of o close parentheses rightwards double arrow 3 x equals 138 to the power of o rightwards double arrow x equals 138 to the power of o over 3 equals 46 to the power of o

Answered by satyajit samal | 3rd Aug, 2015, 11:02: AM