Step-by-step explanation:
The sum of the interior angles of a triangle is 180:
[tex]\angle{EAB}+\angle{ABE}+\angle{AEB} = 180[/tex]
[tex]\Rightarrow 2x + (180 - 4x) + (180 - 6x) = 180[/tex]
[tex]\Rightarrow 180 - 8x = 0[/tex]
Solving for x,
[tex]x = 22.5[/tex]
The sum of the interior angles of a quadrilateral is 360:
[tex]\angle{DAB}+\angle{ADC}+\angle{DCB}+\angle{ABC}= 360[/tex]
[tex]\Rightarrow 2x+79+32+(360 - 5x) = 360[/tex]
[tex]\Rightarrow -3x + 111 = 0[/tex]
Solving for x,
[tex]x = 37[/tex]
