Answer:
the value of x is 9
Step-by-step explanation:
Tangent chord angle = half of intercepted arc
4x+19 = half of minor arc DE
[tex]4x+19 = \frac{1}{2} \ of \ minor \ arc \ DE[/tex]
Multiply by 2 on both sides
minor arc DE= 2(4x+19)= 8x + 38
sum of angle in a circle is 360 degree
minor arc DE + major arc DE = 360
[tex]8x + 38 + 28x-2= 360[/tex]
[tex]36x + 36= 360[/tex]
Subtract 36 from both sides
[tex]36x=324[/tex]
Divide both sides by 36
x=9
