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In the adjoining figure, the bisectors of angle a and angle b meet at point p .if angle c = 100 and angle d = 80 , find the measure of angle apb |
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Answer» Answer: angle P is 90° Step-by-step explanation: angle A = angleC is 100° (opposite angle of a quadrilateral) angle B = angle D is 80° bisector of angle A = 50 bisector of angle B = 40 APB is a triangle, where angle PAB = ANGLEA = 50 angle PBA = angle B = 40 PAB + APB + PBA = 180° ( angles of a triangle) 50 + APB + 40 = 180° 90 + APB = 180° APB = 180 - 90 APB = 90 |
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