two consective angel of a parallelogram are in the ratho 1:3 then what will be the smaller angel
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Answer:
45°
Step-by-step explanation:
We know that sum of 2 consecutive angles in a parallelogram is 180° due to co - interior angle property in parallel lines.
Now, ratio = 1:3
Thus, let the angles be x and 3x.
Acc. to co - interior angles property,
x + 3x = 180°
=> 4x = 180°
∴ x = 180°/4 => 45°
As x was the smaller angle between x and 3x, the smaller angle is 45°.
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