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°

Answer 1

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`

Answer 2

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