Answer:
x = 27
Step-by-step explanation:
m<X + m<XWY + m<XYW = 180 (measures of <s of triangle add to 180)
m<X = 90
90 + m<XWY + m<XYW = 180
m<XWY + m<XYW = 90 Equation 1
m<XWY + m<VWY = 180 (linear pair) Eq. 2
m<XYW + m<ZYW = 180 (linear pair) Eq. 3
Add Eqs 2 & 3
m<XWY + m<VWY + m<XYW + m<ZYW = 360
m<XWY + m<VWY + m<XYW + m<ZYW = 360
According to Eq. 1, m<XWY + m<XYW = 90.
90 + m<XYW + m<ZYW = 360
Also, m<VWY = 6x & m<ZYW = 4x
90 + 6x + 4x = 360
10x = 270
x = 27
