Question

In the following figure, if ABC and BDC are two triangles, find the value of. x + y + z​

Answer 1

Answer:

Step-by-step explanation: SEE THE IMAGE

Answer 2

Thus the value of x + y + z = 150°

Step-by-step explanation:

By the given figure we can say that,

the exterior angle = the sum of interior angles on the  opposite sides.

∴ 95° = x + 60°

   x = 95° - 60° = 35°

By the figure, ∠ACD + ∠BDC = 95° [ as the exterior angle = the sum of interior angles on the opposite side]

⇒ ∠ACD + 35° = 95°

⇒ ∠ACD = 95° - 35° = 65°

Next, y + z + ∠ACD  = 180° [ ∵ the angles form a straight line ]

         y + z + 65° =180°

⇒ y + z = 180° - 65° = 115°

∴ x+ y + z = 35° + 115° = 150°

Thus the value of x + y + z = 150°