Mathematics
ABCD is a parallelogram in which ∠A = 72°. Measures of ∠B, ∠C and ∠D respectively will be :
72°, 108°, 108°
108°, 108°, 72°
108°, 72°, 108°
none of these
Answer
In a parallelogram, consecutive angles are supplementary and opposite angles are equal.
∠A + ∠B = 180°
72° + ∠B = 180°
∠B = 180° - 72°
∠B = 108°
∠A = ∠C = 72° (Opposite angles of parallelogram are equal.)
∠D = ∠B = 108° (Opposite angles of parallelogram are equal.)
Hence, option 3 is the correct option.
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