Express m∠F in terms of m∠Y.
Vertical is the only way to go!
m∠F = 180 – m∠Y
Out of the alternate interior angles theorem, the corresponding angles theorem, and the alternate exterior angles theorem, which one is disproved by the parallel postulate?
They're all theorems, remember? Theorems.
None! The parallel postulate supports all three of these theorems. (Remember how theorems are statements of fact?)
What are the values of m and n?
Corresponding angles are congruent. So are alternate interior angles.
m = 20, n = 27
Are lines a and b parallel if p = 13 and q = 54?
Remember that vertical angles are congruent. What about consecutive interior angles?
No, lines a and b are not parallel.
In what branch of geometry is the parallel postulate false?
Who came up with the parallel postulate? (His name rhymes with Shmooclid.)
Make it rain.