Question

Determine the value of x for the diagram shown.

A) 30
B) 45
C) 60
D) 80

Answer 1

30 because 120-90 and triangles are 90° so in that case u have to subtract 90 from 120 to get your answer

Answer 2

Option C. 60°

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 =
`(120)/(2)`

x = 60°

Option C. is the answer.