Quadirateral ABCD~=quadirateral EF , what is the value of x?
A.) x=75
B.)x=80
C.)x=100
D.)x=105
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Answer:
The answer to your question is: letter C = 100
Step-by-step explanation:
∠A = 80 ∠B = 75 ∠C = x = ? ∠D = 105
The sum of the angles in a quadrilateral = 360°
Like ABCD ≈ EDFG the magnitude of the angles is the same
Then:
∠A + ∠B + ∠C + ∠D = 360
80 + 75 + ∠C + 105 = 360
∠C = 360 - 80 - 75 - 105
∠C = 100