Answer:
x = 86
Step-by-step explanation:
note : a straight line is regarded to have an angle of 180 degrees.
in this case CUW is a straight line
I shall show you two methods . which ever one you choose will still get the same answer. however understanding both will help you use them for other questions
method 1
therefore in order to solve the value of x we need to get the missing angle in the triangle first which is angle WUV
Angle WUV
notes : a triangle has a total angle of 180 degrees
hence we can create an equation to get the angle WUV
lets make the missing angle as Y , this will help to find the answer.
46 + Y + 40 = 180
now make Y the subject of formula
Y = 180 - 40 - 46
Y = 94
now in order to find x .
since the CUW is a straight line with 180 degrees
hence x = 180 - 94 = 86
x = 86
method 2
since the triangles total angle is 180 degrees and also the straight line is also 180 degrees. we can just add the total of the 2 sides of the triangle ( the two interior angles can be added together to get the value of the exterior one)
40 + 46 = 86
x = 86
