Problema Solution
In quadrilateral ABCD . AB produced is perpendicular to DC produced. If angle A = 44 degree and angle C = 148 degree. calculate angle D and angle B. draw and show the figure with this question.
Answer provided by our tutors
draw the quadrilateral ABCD and let AB produced meet DC produced at E
angle A = 44 degrees
angle C = 148 degrees
the triangle AED is a right triangle with right angle at E (since AB is perpendicular to DC) thus
angle D = 180 - (90 + angle A) = 180 - (90 + 44) = 46 degrees
angle D = 46 degrees
the sum of the angles in the quadrilateral is 360 thus
angle B = 360 - (angle A + angle C + angle D) = 360 - (44 + 148 + 46)
angle B = 122 degrees