Question

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​

Answer 1

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°