If the measures of the angles of a triangle are in the ratio of 19:13:4, then the expressions 19x, 13x, and 4x represent the measures of the

Question

If the measures of the angles of a triangle are in the ratio of 19:13:4, then the expressions 19x, 13x, and 4x represent the measures of these angles. What are the measures of the angles? HELP PLEASE!!

96°, 59°, 25°
95°, 65°, 20°
107°, 65°, 8°
98°, 62°, 20°

0

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    0
    2021-09-11T08:31:23+00:00

    recall that the sum of all interior angles in a triangle is 180°.

    since we then know one angle is 19x, another angle is 13x and the last angle in the triangle is 4x, then we can say that 19x + 13x + 4x = 180.

    \bf 19x+13x+4x=180\implies 36x=180\implies x=\cfrac{180}{36}\implies \boxed{x=5} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \stackrel{19(5)}{95}~~:~~\stackrel{13(5)}{65}~~:~~\stackrel{4(5)}{20}~\hfill

    0
    2021-09-11T08:31:51+00:00

    the 3 angles of a triangle add to 180 degrees

    19x + 13x+4x = 180

    combine like terms

    36x =180

    divide by 36

    x=5

    the three angles are

    19*5 =95

    13*5 =65

    4*5 =20

    Answer: 95,65,20

    Choice B

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