Figure PQRS is a trapizum. Why? Give two reason for your Answer.
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Answer:
PQRS is a trapezium.
Step-by-step explanation:
First, let's verify that PQRS is a trapezium or not.
So, (1) PQ should be ║ RS.
Let PS be the transversal between the two lines PQ and RS.
∴ We know that If the sum of co-interior angels = 180°
Then, the 2 lines are ║.
So, let's check.
=> ∠S + ∠P = ?
=> 115° + 65° = 180°
∴ PQ ║RS ---- (1)
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Next, (2) From the figure we can clearly see that PQ > RS.
So, PS ∦ RQ.
Hence, PQRS is a trapezium.
Hence, proved.
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