If m∠w = 105° and m∠y = 75°, then m∠x = show your work, so i know the process.

30°

Step-by-step explanation:

First we must know that the sum of the interior angles of a triangle sum up to 180°.  Furthermore, a straight line is also 180°.  By using these what we know we can determine what the value of m∠X is.

First we know that m∠W and m∠Z make up a straight line, since m∠W is 105° it follows that:

180° = m∠W + m∠Z

And so:

m∠Z = 180° - m∠W = 180°-105° = 75°

m∠Z = 75°

Now, we also know that the sum of m∠X + m∠Y + m∠Z = 180° and so:

m∠X = 180° - m∠Y - m∠Z

m∠X = 180° - 75° - 75° = 30°

Therefore, m∠X = 30°

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