A student was asked to find the value of x. What error did the student make?
By the Linear Pairs Theorem,
w+56=180, so w = 124.
By the Triangle Exterior Angle
Theorem, w = x + 31, or
124 = x + 31, so x = 93.
Choose the correct answer below.
X
56°
44
Q
OA. The Linear Pairs Theorem actually says that w+ 56+44=180. This means w+100=180, and so w=80. Therefore, x=w-31-80-31-49.
B. By the Triangle Exterior Angle Theorem, w=x+44. This means x=w-44=124-44= 80.
OC. By the Triangle Exterior Angle Theorem, w=x+44 +31. This means w=x+75, and so x=w-75=124-75=49.
OD. The Linear Pairs Theorem actually says that w+56=90. This means w = 34, and so x=w-31-34-31=3.