Determine the value of x for the diagram shown. a) 30 b) 45 c) 60 d) 80

Option C. 60°

Step-by-step explanation:

In the triangle ABC,

AC ≅ BC

Therefore, angles opposite to these sides will be equal.

∠A ≅ ∠C ≅ x°

and ∠ ACB + ∠ACD = 180° [Supplementary angles]

∠ACB + 120° = 180°

∠ACB = 180 - 120 = 60°

Now ∠A + ∠B + ∠ACB = 180°

x + x + 60 = 180

2x + 60 = 180

2x = 180 - 60

2x = 120

x =

x = 60°

Option C. is the answer.