Question

In the figure ,
Find the value of x​

Answer 1

the given triangle is isolateral so angel C=B

so 180-28/2=152/2=76

x+c=180(liner pair)

x+76=180

x=180-76

x=104

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Answer 2

Answer:

D. 104°

Step-by-step explanation:

In ΔABC,

∠BAC = 28°

∠ABC = ∠ACB ... (Isosceles Triangle Theorem)

Let ∠ABC = ∠ACB= y.

Hence,

∠BAC + ∠ABC + ∠ACB = 180° ...(Sum of all angles of a triangle is 180°)

28° + y + y = 180°

2y = 180-28

2y = 152

y = 76

Therefore,

∠ABC = ∠ACB = 76°

∠ACB + ∠BCD = 180° ...(Linear pair of angels)

76 + x = 180

x = 180-76

x = 104°