Answer:
x = 7
y = 4
Arc JKL = 262°
Step-by-step explanation:
Find the diagram attached
Using the theorem;
Sum of opposite angle of the quadrilateral is 180°
7x+131 = 180
7x = 180-131
7x = 49°
x = 49/7
x = 7
Similarly;
11x+y+99 = 180°
11(7)+y+99 = 180°
77+99+y = 180
176+y = 180
y = 180-176
y = 4
arc JKL is the obtuse angle at the centre
Arc JKL = 360-(angle at the centre)
Angle at the centre is twice angle at the circumference.
Angle at the centre = 2(7x)
Angle at the centre = 2(49)
Angle at the centre = 98°
Arc JKL = 360-98
Arc JKL = 262°
