Question

directions. answer the following questions. show all your work. 1.) use the image below to answer the following questions: a. which angle represents ∠2? i. ∠fvi ii. ∠v iii. ∠gvi iv. ∠hvg b. which angle is represented by ∠fvg? i. ∠1 ii. ∠2 iii. ∠3 iv. all of the above 2. if m∠xuy=(6x + 3)°, m∠yuz=(3x - 4)° and ∠xuz = 98°, what is the value of m∠xuy?

Explanation:

Step1: Identify ∠2 in the first diagram

By observing the angles around point V, ∠2 is ∠HVG.

Step2: Identify ∠FVG in the first diagram

By observing, ∠FVG is ∠1.

Step3: Solve for x in the second - part problem

Since ∠XUZ=∠XUY + ∠YUZ, we substitute the given expressions:

$$
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$$

Step4: Find m∠XUY

Substitute x = 11 into the expression for m∠XUY:

$$m\angle XUY=6x + 3=6\times11+3=66 + 3=69^{\circ}$$

Answer:

1. a. iv. ∠HVG

b. i. ∠1

1. \(69^{\circ}\)