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trapecia [35]
2 years ago
5

Please help!!!!!!!!!!!!!!!!

Mathematics
1 answer:
____ [38]2 years ago
5 0

Answer:

  (i) x° = 28°

  (ii) y° = 104°

  (iii) z° = 76°

Step-by-step explanation:

x° is an alternate interior angle where transversal PQ crosses the parallel lines, so it has the same measure as the one marked 28°.

  x° = 28°

__

The base angles of isosceles triangle PQR are both z°, so we must have ...

  z° +z° +28° = 180° . . . . . . . . . sum of angles in a triangle

  z° = (180° -28°)/2 = 152°/2 . . . solve for z

  z° = 76°

__

y° and z° are a linear pair, so ...

  y° = 180° -76°

  y° = 104°

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