In the given quadrilateral angle DAB is 120 degree and ABC is 130 degree. E is an interior point of the quadrilateral such that ED and EC are angle bisectors of angle ADC and BCD respectively. Find the measure of angle CED
Attachments:
Answers
Answered by
6
Answer:
125°
Step-by-step explanation:
ABCD is a quadrilateral
Hence, Sum of all angles = 360°
Hence, ADC + DCB = 360° - DAB - ABC
= 360 - 130 - 120
= 110°
As ED and DC are angle bisectors,
EDC + DCE = 110/2= 55°
As DEC is a triangle
sum of all angles equal 180°
Hence CED =180°- EDC + DCE= 180°-55°= 125°
Similar questions