Prove that in a parallelogram, two adjacent angles is 180 degree
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Prove that in a parallelogram, two adjacent angles is 180 degree
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Answer:
Step-by-step explanation:
in a parallelogram all sides add upto 360 degree.
The opposite angles are equal in all cases.
Thus let one angle be x and other be y
2x+2y=360
lets divide everything by 2
x+y=180
hence proved, also x and y cant be opposite as opposite angles are equal
Verified answer
Answer:
Prove that any two adjacent angles of a parallelogram are 180 degree . Then, AD ∥ BC and AB is a transversal. Similarly, ∠B + ∠C = 180°, ∠C + ∠D = 180° and ∠D + ∠A = 180°. Thus, the sum of any two adjacent angles of a parallelogram is 180°.
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