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4vir4ik [10]
1 year ago
7

Find the measure of the three missing angles in the parallelogram below.

Mathematics
2 answers:
Leya [2.2K]1 year ago
7 0

According to definition of parallelogram

  • Consecutive angles of a parallelogram have sum 180°
  • Opposite angles are equal
  • Opposite sides are equal

\\ \rm\hookrightarrow z=103

  • x+103=180
  • x=77°

And

  • y=x=77
elixir [45]1 year ago
4 0

Answer: x = 77 degrees, y = 77 degrees, z = 103 degrees

Step-by-step explanation:

Since y and 103 are essentially same side interior angles, they must add up to 180. Therefore, y = 180-103 = 77 degrees.

Opposite angles of a paralellogram are equal.

Therefore, x = y = 77 degrees and z = 103 degrees

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A-One Talent Agency has 108 clients. 42 of the clients play piano and 51 of the clients play guitar.
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Thwre are 28 clients who don not play any of the instrument using the principle of Venn distribution.

<u>Using a Venn diagram analogy</u> :

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<u>From the information given</u> :

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<u>The total number of clients can be related thus</u> :

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None = 108 - 80

None = 28

Therefore, the number of clients who do not play any of the instruments is 28

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