In a quadrilateral ABCD, A = ( 2x + 4), B = (2x - 13)0, C = (3x + 11)

1.	In a quadrilateral ABCD, A = ( 2x + 4), B = (2x - 13)0, C = (3x + 11) and D = (4x - 5) . Find the measures of the angles.
Answer» 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

In a quadrilateral ABCD, A = ( 2x + 4), B = (2x - 13)0, C = (3x + 11) and D = (4x - 5) . Find the measures of the angles.

Answer»

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

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In a quadrilateral ABCD, A = ( 2x + 4), B = (2x - 13)0, C = (3x + 11) and D = (4x - 5) . Find the measures of the angles. ​

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In a quadrilateral ABCD, A = ( 2x + 4), B = (2x - 13)0, C = (3x + 11) and D = (4x - 5) . Find the measures of the angles.