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use the diagram and angle measures to answer the question. angle vwx=62^circ angle wvx=78^circ angle wxy=106^circ not drawn to scale

Question

Use the diagram and angle measures to answer the question. angle VWX=62^circ angle WVX=78^circ angle WXY=106^circ not drawn to scale What is the measure of angle YXZ A. 34^circ B. 40^circ C. 74^circ D. 78^circ

Answer

4.1 (276 Votes)
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Fletcher Expert · Tutor for 3 years

Answer

To find the measure of , we need to use the given angle measures and the properties of angles in a plane.Step 1: Identify the relationship between the given angles.We have three angles given:- - - Step 2: Find the measure of .Since and form a linear pair with , their sum should be equal to because they are supplementary. Therefore, we can calculate as follows: Step 3: Find the measure of .Now, we know that and form a linear pair with , so their sum should also be equal to . We can calculate as follows: Therefore, the measure of is , which corresponds to option C. .