In a parallelogram ABCD if angle a is 70 degree find other angles.
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Given,
ABCD is a parallelogram.
One angle of parallelogram ∡ A = 70°
To Find,
Parallelogram's remaining angles.
Solution,
Here, ABCD is a parallelogram.
The angle A = 70°.
Parallegorm has equal opposite sides.
4 interior angles are in a parallelogram, and all the angles total is 360°.
Adjoining angles total is 180°.
Therefore,
∡ A =70 °
∡A and ∡B are close by angles.
∡A + ∡B = 180°
∡ B = 180-70
∡B = 110°
One characteristic of a parallelogram is its opposite sides are the same.
Here,
∡C and ∡A, ∡B, and ∡D are opposite to each other.
∡A= ∡C
∡B = ∡D
Hence ∡A = 70°, ∡C = 70°, ∡B = 110°, ∡D = 110°.
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