Question

In the quadrilateral ABCD, BE=EC, m angle ADE=50⁰, m angle DAB=130⁰ and m andle ABE=60⁰. Find m angle EBC​

Answer 1

Answer:

give the quadrilateral

Answer 2

Answer:

Step-by-step explanation:

Sol.  

In quadrilateral ABCD  

angle BAD=130*}  

angle ADE=50*  }  (given)

angle ABE=60*  }

angle BED= BAD + ADE + ABE + BED= 360*

let angle BED be ‘x’

130+50+60+x=360*

x=120*

so angle BED is also 120*

angle BEC is 180-120 (linear pair)

angle BEC=60

in /\ BEC side BE=BC so it is a iso. triangle

In iso. triangle base angles are equal.

so angle BEC=BCE

so BCE is 60*

BCE+BEC+CBE=180 (angle sum prop. of triangle)

let CBE be ‘y’

60+60+y=180

y=60*

so angle CBE= 60*