Question

In Fig 14.9 the bisector of angle A and angle B meet at point O. If angle C = 100° and angle D = 50 °, find angle AOB ​

Answer 1

AOB = 285°

A + B + C + D = 360 (Sum of angles of a quad.)

A + B = 360 - 100 - 50 = 210°

1/2 (A+ B) = 210/2 = 105.

AOB = 180 - 105 = 75°.( Sum of angles of a )

Answer = 75°.

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