The angular measure of ∠YOZ is : 60° and the angular relationship used is vertically opposite angles(VOA).
How are angles formed?
Angles are formed when two lines meet. this could be a direct intersection or an intersection between two parallel lines and a transversal.
Angles can be acute, obtuse, or reflex.
Analysis:
Given data:
∠VOX = 90°
∠WOX = 30°
∠WOX + ∠VOW = ∠VOX
30° + ∠VOW = 90°( the two angles are complementary that is they sum up to 90°)
∠VOW = 90 - 30 = 60°
∠VOW = ∠YOZ ( vertically opposite angles are equal)
∠YOZ = 60°.
in conclusion, the angular measure of ∠YOZ = 60° and the angular relationship used is vertically opposite angles.
Learn more about angles : brainly.com/question/25770607
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