Question

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°

Answer 1

Answer:

m∠V = 60°, m∠U = 90°, m∠W = 30°

Step-by-step explanation:

hope this helps y'all out

Answer 2

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

Application of SOH CAH TOA identity

From the given diagram;

• Opposite side to <V = 3√3 cm
• Hypotenuse = 6cm

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: https://brainly.com/question/7888180