Question

In quadrilateral ABCD, AB produced is perpendicular to DC produced. If angle A = 44 degrees and angle C = 148 degrees, calculate angle D and angle B. Please solve it with drawing the figure of it.​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Answer:

122 degree

Step-by-step explanation:

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