If three angles of a quadrilateral
Question:

If three angles of a quadrilateral are each equal to 75o, the fourth angle is

(a) 150o 

(b) 135o 

(c) 45o 

(d) 75o

Solution:

(b) 135o

We know that, sum of interior angles of quadrilateral is equal to 360o.

From the question it is given that, three angles of a quadrilateral are each equal to 75o.

Let us assume the fourth angle be x.

Then, 75o + 75o + 75o + x = 360o

225 + x = 360o

x = 360o – 225

x = 135o

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