Answer:
x = -7
Step-by-step explanation:
Firstly, under the rule of opposite vertical angles, you know that any angles opposite of each other in a cross section have the same degree measure.
Therefore the last remaining angle in the triangle will be 85 degrees, since it is vertically opposite of the 85 degree angle.
Next, you know that all three angles of a triangle MUST equal 180 degrees to be considered a complete triangle.
Therefore, use the equation below to solve for x:
180 = 54 + 85 + (48 + x)
x = 180 - 54 - 85 -48 = -7
