Question

Two railroad tracks cross each other. If the measure of angle 1 is 3 times the measure of angle 2. What are the measures of angles 1,2,3, and 4? Explain and show your work please.

Answer 1

I assume the gaps form something like a circle. Based on this, you have 3x + x = 180, since we are just finding the measures of the circle. 4x = 180. x = 45

45 is angle 2.
135 is angle 1.

So, angles 1 and 3 are 135 degrees each and angles 2 and 4 are 45 degrees.

Answer 2

divide 1.45 by 5. explain how you got your answer in a complete sentence

Answer 3

At right are several roads that will be built as part of a new hospital complex. The angel at which road 1 meets road 2 is twice the measure of the angle at which road 2 meets road 3.Fill the missing angle measure on the diagram.Write and solve equation to justify your answer