Answer:
I hope this helps!!
Explanation:
Based on the given diagram, we can determine the measure of angle ZMDV.
From the given information, we know that TS || WB || LH. This means that the lines TS, WB, and LH are parallel to each other.
Since WB and LH are parallel lines, we can use the property of alternate interior angles. Angle m/HXB and angle m/VSC are alternate interior angles, so they are congruent. Therefore, m/HXB = m/VSC = 37°.
Similarly, angle m/NSB and angle m/WMR are alternate interior angles, so they are congruent. Therefore, m/NSB = m/WMR = 120°.
To find the measure of angle ZMDV, we need to find the value of angle m/DVM.
Since WB and LH are parallel lines, angle m/HXB and angle m/DVM are corresponding angles. Corresponding angles formed by a transversal intersecting two parallel lines are congruent.
Therefore, m/HXB = m/DVM = 37°.
Now, to find the measure of angle ZMDV, we can use the fact that the sum of angles in a triangle is 180°.
Angle ZMDV is formed by angles m/DVM, m/VSC, and m/NSB.
m/ZMDV = m/DVM + m/VSC + m/NSB
m/ZMDV = 37° + 37° + 120°
m/ZMDV = 194°
Therefore, the measure of angle ZMDV is 194°.