Question

an exterior angle of a parallelogram measures 125° find the magnitude of all the angles of the parallelogram​

Answer 1

Answer:

let the parallelogram be ABCB

NOW LET ANY ONE OF THE EXTERIOR ANGLE BE <dct(dc is produced to T by construction)

=> angle dct + dcb=180

=> 125+<dcb=180

=> <dcb=55 degree

<dcb=<a(opposite angle of Parallelogram are equal)

=> <a=55 degree

<a+<b=180(linear pair)

but a=55

=> <b=125 degree

<b= <d=125 degree

i hope you got your answer please mark it as brainliest.