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zhannawk [14.2K]
3 years ago
11

Find x, y and z.

Mathematics
1 answer:
emmasim [6.3K]3 years ago
8 0

Answer:

<u>The values for x = 56, for y = 28 and z = 64</u>

Step-by-step explanation:

1. Let's review the information given for answering the question correctly:

∠2y° and ∠56°are alternate interior angles

∠x °and ∠2y° are alternate interior angles

<u>2. . Let's find the values of x, y and z.</u>

2y = 56

<u>y = 28</u>

Therefore,

∠x ° = ∠2y°

∠x ° = ∠56°

<u>x = 56 </u>

Let's recall that all the interior angles of a triangle will always add up to 180°, thus:

∠z° = 180 - 60 - 56

∠z° = 180 - 116

<u>∠z° = 64°</u>

<u>z = 64</u>

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