In ∆abc the angle bisectors drawn from vertexes a and b intersect at point d. find ∠adb if:
m∠a = α , m∠b = β

The measure angle ADB = 180 - (α/2+ β/2) 

Step-by-step explanation:

measure angle A is α degrees, this means that, the angle bisector divides the angle into two equal angles each of measure α/2 degrees

measure angle B is β degrees, this means that the angle bisector divides the angle into two equal angles each of measure β/2 degrees

In triangle ADB, we know that the sum of all measure of a triangle is 180 degrees and we have measure angle MAB = α/2 degrees and measure angle MBA = β/2 degrees

Therefore,

measure angle ADB = 180 - (α/2+ β/2) 

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.

are ya tryin to ask something or is this a statement