Answer:
- x° = 100°
- y° = 80°
- z° = 85°
Step-by-step explanation:
The relations that you need to know to solve this are ...
- vertical angles are congruent
- consecutive interior angles are supplementary
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The angle marked x° and the one marked 100° are vertical angles, so have the same measure:
x° = 100°
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The angle marked y° is supplementary to the one marked x°, so its value is ...
y° = 180° -100° = 80°
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The two angles marked z° and (z+10)° are also supplementary, so ...
z° +z° +10° = 180°
2z° = 170°
z° = 85°
