Side XY of triangle XYZ is extended to point W, creating a linear pair with ∠WYZ and ∠XYZ.
1 answer:
Answer:
![x= 80^o](https://tex.z-dn.net/?f=x%3D%2080%5Eo)
Step-by-step explanation:
Given
![\angle Z = 36^o](https://tex.z-dn.net/?f=%5Cangle%20Z%20%3D%2036%5Eo)
![\angle WYZ = 100^o](https://tex.z-dn.net/?f=%5Cangle%20WYZ%20%3D%20100%5Eo)
Required
Find x
and x are on a straight line.
So:
![\angle WYZ + x= 180^o](https://tex.z-dn.net/?f=%5Cangle%20WYZ%20%2B%20x%3D%20180%5Eo)
Make x the subject
![x= 180^o -\angle WYZ](https://tex.z-dn.net/?f=x%3D%20180%5Eo%20-%5Cangle%20WYZ)
Substitute known value
![x= 180^o -100^o](https://tex.z-dn.net/?f=x%3D%20180%5Eo%20-100%5Eo)
![x= 80^o](https://tex.z-dn.net/?f=x%3D%2080%5Eo)
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