Question

Solve this question... ​

Answer 1

Answer:

angle ADC=125°,angleBCD=55°

Step-by-step explanation:

in a quadrilateral AECF ,angleAFC=90°,angleAEC=90°,

angleEAF=45° therefore angle ecf is equal to 125 degree

adjacent angles of a parallelogram are supplementary therefore therefore angle ADC is equal to 55 degree because Angle B C D is equal to 125 degree and sum of 125 and 55 is 180 degree there for angle ADC is equal to 55 degree angle BCD is equal to 125 degree angle b a d is equal to to 125 degree and angle abc is equal to 55 degree

Answer 2

Step-by-step explanation:

In quadrilateral AECF,

angle FCE = 360°- 90°-90°- 45° [given]

= 135°

Therefore, angle DCB=angle BAD = 135°

[opp angles of a parallelogram are equal]

Now, adjacent angles in a parallelogram add up to 180°.

So, angle ACD= 180°-angle BCD

= 180°- 135° = 45°

Therefore, angle ADC =angle ABC = 45°

[opp angles of a parallelogram are equal]

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