Mathematics
In the parallelogram ABCD, ∠A : ∠B = 3 : 5. ∠C =
67.5°
112.5°
45°
135°
Rectilinear Figures
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Answer
Given the ratio ∠A : ∠B = 3 : 5.
Let ∠A = 3x and ∠B = 5x.
Sum of adjacent angles in a parallelogram = 180°.
3x + 5x = 180°
8x = 180°
x = 22.5°
In a parallelogram, opposite angles are equal.
∠C = ∠A = 3x
∠C = 3 × (22.5°)
∠C = 67.5°
Hence, option 1 is the correct option.
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