Somebody ? ! finding an angle measure given a triangle and parallel lines.

  x = 59°

Step-by-step explanation:

The angle marked 115° and the angle that is the sum of angles x and 56° are alternate interior angles, so have the same measure:

  115° = x +56°

  59° = x . . . . . . . subtract 56°

x = 59

Step-by-step explanation:

angle 115 and angle 56 + x are alternate angles and congruent, thus

56 + x = 115 ( subtract 56 from both sides )

x = 59

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions