What are the angle measures of triangle VUW? m∠V = 30°, m∠U = 60°, m∠W = 90°
m∠V = 90°, m∠U = 60°, m∠W = 30°
m∠V = 30°, m∠U = 90°, m∠W = 60°
m∠V = 60°, m∠U = 90°, m∠W = 30°

The angle measures of triangle VUW are m∠V = 90°, m∠U = 60°, m∠W = 30°

From the given diagram;

According to the rule:

sin <V = opp/hyp

sin <V = 3√3/6

sin <V = √3/2

<V = 60 degrees

Since the triangle is right-angled, the measure of m<U is 90 degrees

Also, the sum of interior angle of a triangle is 180 degrees, hence;

60 + 90 + <W = 180

<W = 180 - 150

<W =  30 degrees

Hence the angle measures of triangle VUW are m∠V = 90°, m∠U = 60°, m∠W = 30°

Learn more on interior angle of a triangle here: link

m∠V = 60°, m∠U = 90°, m∠W = 30°

Step-by-step explanation:

hope this helps y'all out

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.

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