This is geometrey and this < is the angle symbol. ! complete the reasons for proof. given m< 3=m< 4 to prove < 1,< 2 are supplementary i have a fill in the blank section that i can type if need be! me. [tex][/tex]

Given: ∠3 = ∠4

1) ∠1 = ∠4 because of vertical angles

2) ∠4 = ∠3, given

3) So ∠1 = ∠4 = ∠3, so ∠1 = ∠3, because of transitive property

2) ∠3 + ∠2 = 180 degrees because definition of a straight line

3) ∠1 + ∠2 = 180 degrees, using substitution

4) Since ∠1 + ∠2 adds up to 180 degrees, that makes them supplementary angles.

+25 = x

step-by-step explanation:

here x is the hypotenuse of a right triangle whose legs are 7 and 24.   by the pythagorean theorem, 7² + 24² must equal x²:

x² = 49 + 576 = 625.   thus, x = +√625 = +25 = x