M is parallel to L. And T is transversal. Find the value of X. I cant seem to figure out a correct solution could you help me.
M<2=(2x+3)+ M<4=(4x-7)
Sure! To find the value of x in this scenario, we can use the properties of parallel lines and transversals.
Since M is parallel to L and T is the transversal, we can use the corresponding angles property. According to this property, when a transversal intersects two parallel lines, the corresponding angles are congruent.
In this case, we have angle 2 (denoted as M<2) and angle 4 (denoted as M<4) as corresponding angles. Therefore, we can set up the equation:
M<2 = M<4
Replacing the angle measures with their respective expressions:
(2x + 3) = (4x - 7)
Now, let's solve for x:
2x + 3 = 4x - 7
Subtracting 2x from both sides:
3 = 2x - 7
Adding 7 to both sides:
10 = 2x
Dividing both sides by 2:
5 = x
Hence, the value of x is 5.