PLEASE HELP I WILL MAKE BRAINLIEST

m∠T = 79°

m∠V = 14°

Step-by-step explanation:

Given

As the sum of measures of the angles is 93°.

so

m∠T + m∠V = 93°

(2x + 85)° + (5x + 29)° = 93°

Remove parentheses

Subtract 114 from both sides

Simplify

Divide both sides by 7

simplify

Determining m∠T

m∠T = (2x + 85)°

substitute x = -3

m∠T = (2(-3) + 85)°

        = -6 + 85

        = 79°

Thus, we conclude that m∠T = 79°

Determining m∠V

m∠V = (5x + 29)°

substitute x = -3

m∠T = (5(-3) + 29)°

        = -15 + 29

        = 14°

Thus, we conclude that m∠V = 14°

VERIFICATION:

m∠T + m∠V = 93°

substitute m∠T = 79° and m∠V = 14°

79° + 14° = 93°

93° =  93°

L.H.S = R.H.S    

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.