Answer: m∡x = 140°
Step-by-step explanation:
We are given m∡z = 40° and we are asked to find m∡x. The biggest piece of information given to us to solve this is the congruency lines on ZY and WX. This means that m∡z = m∡w and m∡x. = m∡y and the sum of all the angles in the trapezoid is 360°
Let's solve:
360° = m∡z + m∡w + m∡x + m∡y (the sum of all the angles is 360)
Substitute 40 for m∡z and m∡w since they are equal:
360° = 40° + 40° + m∡x + m∡y
Subtract 80° from both sides to equalize :
280° = m∡x + m∡y
Since m∡x = m∡y substitute m∡x + m∡y for 2 m∡x
280° = 2 * m∡x
Divide by 2 to get m∡x
m∡x = 140°
That's it
