Question

Can you construct the above quadrilateral pqrs ,if we have an angle of 100° at p instead of 75° give reason​

Answer 1

Answer:

140

Step-by-step explanation:

Can you construct the following quadrilateral MIST if we have 100° at M instead of 75°? Solution: Yes, the quadrilateral MIST can be constructed with ∠M = 100° instead of ∠75°. Question 2. Can you construct the quadrilateral PLAN if PL = 6 cm, LA = 9.5 cm, ∠P = 75°, ∠L = 150° and ∠A = 140°?

Answer 2

Yes, we can construct the quadrilateral PQRS, if we have an angle of 100° at P instead of 75°.

Given:

∠P= 100°

∠Q= 100°

∠R= 120°

Here, we have to give reason whether we can construct a quadrilateral PQRS, if we have an angle of 100° at P instead of 75°.

We know that, the sum of all angles of a quadrilateral is 360°.

So, ∠P+∠Q+∠R+∠S= 360°      ...........................(1)

We have to check if on changing the value of ∠P, we get a positive value for ∠S if we get a negative value for ∠S then the quadrilateral will not be possible to construct.

Now, put the values of ∠Q and ∠R but in equation 1 put ∠P= 75°

∠P+∠Q+∠R+∠S= 360°

75°+100°+120°+∠S= 360°

∠S= 360°- 295°

∠S= 65°

Since, we get a positive value for ∠S, so we can construct the quadrilateral PQRS with ∠P equal to 75° instead of 100°.

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