Quadrilateral ABCD is inscribed in this circle. What is the measure of angle C?

Question

12037 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-05-12T19:07:15

#{(C^@=62^@),(x^@=40^@):}#

Solving the system of equations

#{(C^@+(x+20)^@+(2x+38)^@+(3x)^@=360^@),((2x+38)^@+C^@=180^@):}#

for #x, C# we obtain

#{(C^@=62^@),(x^@=40^@):}#

Quadrilateral ABCD ​ is inscribed in this circle. What is the measure of angle C?