Which of the following can be four interior

Question:

Which of the following can be four interior angles of a quadrilateral?

(a) 140o, 40o, 20o, 160o 

(b) 270o, 150o, 30o, 20o

(c) 40o, 70o, 90o, 60o 

(d) 110o, 40o, 30o, 180o

Solution:

(a) 140o, 40o, 20o, 160o

We know that sum of interior angles of quadrilaterals is 360o.

So, 140o + 40o + 20o + 160o = 360o

In option (d) has angle sum equal to 360o, but one angle is 180o if it is considered then the quadrilateral becomes a triangle.

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