Question

In AUVW, m/U = (9x - 8)°, m/V = (2x + 2)°, and m/W = (3x + 4)º. Find m/V.

Answer 1

Answer:

m∠V = 28°

Step-by-step explanation:

In ΔUVW:

• m∠U = (9x - 8)°
• m∠V = (2x + 2)°
• m∠W = (3x + 4)°

To find the measure of angle V, first find the value of x.

Interior angles of a triangle sum to 180°.

⇒ m∠U + m∠V + m∠W = 180°

⇒ (9x - 8) + (2x + 2) + (3x + 4) = 180

⇒ 9x + 2x + 3x - 8 + 2 + 4 = 180

⇒ 14x - 2 = 180

⇒ 14x = 182

⇒ x = 13

Substitute the found value of x into the expression for angle V:

⇒ m∠V = 2(13) + 2

⇒ m∠V = 26 + 2

⇒ m∠V = 28°

Therefore, the measure of angle V is 28°.

Learn more about interior angles of a triangle here:

brainly.com/question/27682937