Quadrilateral ABCD is inscribed in this circle. What is the measure of angle C? Enter your answer in the box.

i think the measure of angle C is 43.44 degrees

Step-by-step explanation:

the total amount of the angles within a box equals to 360 degrees so by just finding the angles, substitute angle C by x,  then adding all angles together and subtracting them to 360, the answer can be found.

x +20 + 2x + 38 + 3x + x= 360

7x + 58 = 360

7x = 302

x = 43.14

Then plugin 43.14 in the given angles

2(43.14) + 38 = 124 degrees

(43.14) + 20 = 63.14 degrees

3(43.14) = 129.42 degrees

Then add them together

138.66 + 70.33 + 150.99 = 316.56

Then subtract it with 360

360 - 316.56 = 43.44 degrees

the answer is 24

step-by-step explanation: