Question

point y is in the interior of xwz. given that and are opposite rays and mxwy​4(m​ywz), what is m​ywz?

Answer 1

point y is in the interior of xwz. given that and are opposite rays and mxwy​4(m​ywz), m​ywz = 36°

Opposite rays:- Opposite rays are the rays, which shares a common initial point, but points towards opposite directions. Angle between two opposite rays is 180°.

According to the question,

m∠XWY = 4(m∠YWZ) (Given)

As the two rays WX and WZ are opposite rays, the initial points of those are same. Here in the question, it is W.

∴∠XWZ = 180°

∴m∠XWY + m∠YWZ = 180°

⇒ 4(m∠YWZ) + m∠YWZ = 180°

⇒ 5(m∠YWZ) = 180°

⇒ m∠YWZ = 180°/5

⇒ m∠YWZ = 36°

Thus we can conclude that, m∠YWZ = 36°.

To know more about opposite rays refer below link:

https://brainly.com/question/28216147

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