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nuccioreggie

  • one year ago

Find the measure of angle x in the figure below: A triangle is shown. At the top vertex of the triangle is a horizontal line aligned to the base of the triangle. The angle formed between the horizontal line and the left edge of the triangle is shown as 56 degrees, the angle formed between the horizontal line and the right edge of the triangle is shown as 51 degrees. The angle at the top vertex of the triangle is labeled as y, and the interior angle on the right is labeled as 72 degrees. The interior angle on the left is labeled as x. 35° 47° 73° 78°

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  1. nuccioreggie
    • one year ago
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    @Michele_Laino

  2. Michele_Laino
    • one year ago
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    we have: 56+y+51=180---> flat angle x+y+72= 180---> sum of interior angles of a triangle

  3. nuccioreggie
    • one year ago
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    So c?

  4. Michele_Laino
    • one year ago
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    solve the first equation for y, what do you get?

  5. Michele_Laino
    • one year ago
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    hint: 107 + y = 180 y= 180 -107 y=...?

  6. nuccioreggie
    • one year ago
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    Hmmmm

  7. Michele_Laino
    • one year ago
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    what is 180-107=...?

  8. nuccioreggie
    • one year ago
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    A

  9. nuccioreggie
    • one year ago
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    73 sorry

  10. Michele_Laino
    • one year ago
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    ok so y= 73 now i substitute y=73 into the second equation, so I can write: x + 73 + 72 = 180 x + 145 = 180 x= 180 - 145 x=...?

  11. nuccioreggie
    • one year ago
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    A

  12. nuccioreggie
    • one year ago
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    35

  13. Michele_Laino
    • one year ago
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    that's right!

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