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)
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.
.