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1 year ago

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

Mathematics

1 answer:

____ [38]1 year 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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