Q11 of 95 Page 15

If the bisectors of two adjacent angles A and B of a quadrilateral ABCD intersect at a point O such that ∠C+∠D=k∠AOB, then find the value of k.

Given ,


ABCD is a quadrilateral



∠C+∠D = k ∠AOB


∵∠D+∠C = k


= ∠A+∠B = 360°- k


= ∠OAB+∠OBA =


=


More from this chapter

All 95 →
9

The perimeter of a parallelogram is 22 cm. If the longer side measure 6.5 cm, what is the measure of shorter side?

 10

If the angles of a quadrilateral are in the ratio 3:5:9:13, then find the measure of the smallest angle.

 12

In a parallelogram ABCD, if ∠A=(3x-20)°, ∠B = (y+15)° and ∠C = (x+40)°, then find the values of x and y.

 13

If measures opposite angles of a larallelogram are (60-x)° and (3x-4)°, then find the measures of angles of the parallelogram.