In quadrilateral ABCD, the bisectors of angle C and angle D meet at point O. If angle A + angle B = 150°, find angle COD. (Hint: first find angle C + angle D, then work inside triangle COD.)

Question

Accepted Answer

75. angle C + angle D = 360 - 150 = 210. In triangle COD the base angles are the half-angles: angle OCD + angle ODC = C + D/2 = 105. So angle COD = 180 - 105 = 75°.

In quadrilateral ABCD, the bisectors of angle C and angle D meet at point O.
If angle A + angle B = 150°, find angle COD.
(Hint: first find angle C + angle D, then work inside triangle COD.)

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 Angle Sum Property of Quadrilaterals practice

In quadrilateral ABCD, the bisectors of angle C and angle D meet at point O.If angle A + angle B = 150°, find angle COD.(Hint: first find angle C + angle D, then work inside triangle COD.)

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 Angle Sum Property of Quadrilaterals practice

In quadrilateral ABCD, the bisectors of angle C and angle D meet at point O.
If angle A + angle B = 150°, find angle COD.
(Hint: first find angle C + angle D, then work inside triangle COD.)