Question

in a quadrilateral ABCD angle A = (2x+4), angle B = (2x-13), angle (3x+11) and angle D = (4x-5). find the measures of the angles.

Answer 1

given that 
ABCD is a quadrilateral
we know that

sum of all angles in a quadrilateral =360
                                   A+B+C+D=360
             2x+4+2x-13+3x+11+4x-5=360
                                          11x-3=360
                                             11x=360+3
                                             11x=363
                                                x=363/11
                                                x=33

A=2x+4=2(33)+4=66+4=70

B=2x-13 = 2(33)-13 = 66-13 = 53

C=3X+11 = 3(33)+11 = 99+11 = 110

D=4X-5 = 4(33)-5 = 132-5 = 127

Answer 2

Hence, all the angles of the quadrilateral ABCD are 70•, 53°, 110° and 127°

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