Question

if one angle of a parallelogram is 75°, then what will be other 3 angles​

Answer 1

Answer:

The other three angles are 105°,75°,105°

Step-by-step explanation:

In a parallelogram opposite angles will be equal

Let there be parallelogram ABCD

Let Angle A be 75°

∴Angle C = 75°

In a parallelogram sum of adjacent angles = 180°

∴ Angle B = 180 - 75 = 105°

In a parallelogram opposite angles are equal

∴ Angle B = angle D = 105°

Check:-

Sum of angles in a quadrilateral is 360°

∴ Sum of angles A,B,C,D = 105° + 105° + 75° + 75° = 360°

Hope it helps

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