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Sagot :
point y is in the interior of xwz. given that and are opposite rays and mxwy4(mywz), mywz = 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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