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Find the measure of ∠YOZ. Which angle relationship did you use?

Find the measure of ∠YOZ. Which angle relationship did you use?-example-1
User Degs
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Answer:

Explanation:

The measure of angle ∠WOV is 60 degrees and The measure of angle ∠YOZ is also 60 degrees.

What is an angle?

Angle is the space between the line or the surface that meets. And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

∠WOX = 30

It can be seen that the ∠XOY and ∠VOX are equal and 90 degrees.

The measure of angle ∠WOV will be

∠WOV + ∠WOX = 90

∠WOV + 30 = 90

∠WOV = 60

The measure of angle ∠YOZ will be

∠WOX + ∠XOY + ∠YOZ = 180 (Supplementary angle)

30 + 90 + ∠YOZ = 180

∠YOZ = 60

User Arpit
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