Q1 of 109 Page 318

Three angles of a quadrilateral are 80o, 95o and 112o. Its fourth angle is

Let the fourth angle be x

80o + 95o + 112o + xo = 360o (Sum of angles of quadrilateral)


287o + xo = 360o


x = 360o – 287o


= 73o


Hence, option (B) is correct

More from this chapter

All 109 →
12

Prove that the line segments joining the midpoints of opposite sides of a quadrilateral bisect each other.

 13

In the given figure, is a quadrilateral whose diagonals intersect at right angles. Show that the quadrilateral formed by joining the midpoints of the pairs of adjacent sides is a rectangle.

 2

Three angles of a quadrilateral are in the ratio 3 : 4 : 5 : 6. The smallest of these angles is

 3

In the given figure, ABCD is a parallelogram in which ∠BAD = 75° and ∠CBD = 60°. Then, ∠BDC = ?