The bisector VK is drawn in the triangle ABC. Find angle ABK if angle A is 46 ͦ and angle C is 58 ̊.

We know that the sum of the angles in a triangle is 180. So the angle B = 180-46-58 = 76 °
By the property of the bisector, it divides the angle in half. Hence the angle ABK = 76: 2 = 38 °
Answer: 38 °



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