Solve for x (ignore my incorrect math)

140° + ∠5 = 180°    same side interior angles    ⇒  ∠5 = 40°

∠2 ≅ ∠5    vertical angles   ⇒ ∠2 = 40°

∠8 = 53°   alternate interior angles

∠3 ≅ ∠8   vertical angles  ⇒ ∠3 = 53°

x + ∠2 + ∠3 = 180°  triangle sum theorem

x + 40° + 53° = 180°

x + 93° = 180°

x = 87°

87°

Note: I just realized that there is an easier way to solve this:

∠9 + 53° + x = 180°   triangle sum theorem

140° + ∠9 = 180°  supplementary angles ⇒  ∠9 = 40°

40° + 53° + x = 180°  

x + 93° = 180°

x = 87°

Use whichever solutions makes sense to you.

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

20%

step-by-step explanation: