Question

The pair of polygons below are congruent. What is m<J

A. 45°
B. 90°
C. 135°
D. 145°

Answer 1

135º + x = 180° ~> x = 45º

Answer 2

`m\angle A=m\angle F=90^o\\\\m\angle B=m\angle G=90^o\\\\m\angle C=m\angle H=135^o\\\\m\angle D=m\angle J=?\\\\m\angle F+m\angle G+m\angle H+m\angle J=360^o\\90^o+90^o+135^o+m\angle J=360^o\\315^o+m\angle J=360^o\\m\angle J=360^o-315^o\\m\angle J=45^o\\\\Answer:\boxed{A}`