Question

step by step explanation ​

Answer 1

Let the three interior angles be x,y and z

angle B

120° +y = 180°

y=60°

angle C

110°+z=180°

z=70°

so, x+y+z= 180°(sum of interior angles of a ∆=180°)

60°+70°+x=180°

x=50°

Hence , x is 50°

Answer 2

Answer:

Step-by-step explanation:

∠ AEB + ∠ABC = 180   (Linear pair)

120 + ∠ABC = 180

∠ABC = 60

∠ABC + ∠x = 110 (Exterior angle property)

60 + ∠x = 110

∠x = 50

                                       or

∠ACB + ∠ACD = 180 (Linear pair)

∠ACB + 110 = 180

∠ACB = 70

∠ABC + ∠ACB + ∠x = 180 (Angle sum property)

60 + 70 + ∠x = 180

∠x = 180 - 130

∠x = 50