Find the measure of angle c
SHOW ALL WORK

easy peasy lemon squeazy

Step-by-step explanation:

in this circle, BC is the diameter,

hence, BCA is a semicircle,

and we know that, angle subtended by a semicircle at any point inside the semicircle is 90°,

therefore by angle sum property of triangles, we have

in ΔABC

∠A + ∠B + ∠C = 180°

=> 90° + 50° + ∠C = 180°

=> ∠C = 180° - 140°

=> ∠C = 40°

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x