Question

In a quadrilateral abcd a°=(2x+4)°, b°=(2x-13)°, c°=(3x+11)° and d°=(4x-5) ° find the measures of the angels

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

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