The measures of the angles of a triangle are shown in the figure below. Solve for x.

x = 57

Step-by-step explanation:

Angles of a triangle all add up to 180 so:

x + 78 + 45 = 180

x + 123 = 180

x = 180 - 123

x = 57

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

your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x