The measures of the three angles of a triangle are in the ratio of 1:2:2. Find their measures.

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The measures of the three angles of a triangle are in the ratio of 1:2:2. Find their measures.

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Tài Đức 3 years 2021-07-15T23:50:38+00:00 1 Answers 7 views 0

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    2021-07-15T23:51:40+00:00

    Answer:

    36°, 72°, and 72°

    Step-by-step explanation:

    The interior angles of a triangle will always add to 180°.

    Let’s say the smallest angle is x, then the other two angles are both 2x.

    x+2x+2x=180

    5x=180

    x=36

    If our angles are x, 2x, and 2x, and we know x is 36, then the answer is:

    36°, (2*36)°, and (2*36)°, which equals

    36°, 72°, and 72°

    Check: 36+72+72=180

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