Make a hypothesis about the sum of the interior angles of any triangle. explain why your hypothesis works for all triangles.

Step-by-step explanation:

I cant go into any detail without a drawing.

The hypothesis that 3 angles of a triangle add up to 180 degrees can be proved by drawing a line through one of the vertices of the triangle  parallel to the opposite side and  using the alternate angles theorem for 2 parallel lines and a transversal.

Step-by-step explanation:

The sum of the three angles of any triangle will always be 180 degrees because when all three angles are put together, they form a straight line. THAT'S THE ANSWER WORD FOR WORD

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.

a.

step-by-step explanation:

step 1 distribute 2 to every term in the parentheses

step 2 add 10 on both sides of the equal sign