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11 January, 21:54

What are the values of x and y in the figure shown below?

Triangle ABC with angles 30 degrees, y degrees, and 80 plus y degrees. Triangle BCD lies inside triangle ABC with angles x degrees, y degrees, and y degrees.

A. x = 55, y = 125

B. x = 110, y = 70

C. x = 110, y = 35

D. x = 55, y = 62.5

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Answers (1)
  1. 12 January, 00:16
    0
    First let's find y. We know the sum of angles equals 180, so if we add the angles of ABC, we'd get 180.

    30+y+80+y=180

    110+2y=180

    2y=70

    y=35

    You could solve x, but the only response with y=35 is c. But to solve for x, you'd ad 35 35 and xwhich would equal 180.

    35+35+x=180

    70+x=180

    x=110
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Home » Mathematics » What are the values of x and y in the figure shown below? Triangle ABC with angles 30 degrees, y degrees, and 80 plus y degrees. Triangle BCD lies inside triangle ABC with angles x degrees, y degrees, and y degrees. A. x = 55, y = 125 B.
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