find the measures of the angles of a triangle whose angles have measures of x, 3x, and 3x+5 also what kind of triangle is it

Answer 1

First we need to know that the sum of the three angles in a triangle is equal to 180 degrees. Since we have an expression for each of these angles, we will add them and set them equal to 180. We get the equation (x) + (3x) + (3x + 5) = 180. We can then combine like terms on the left side. We get 7x + 5 = 180. Subtract 5 from both sides to get 7x = 175. We can then divide both sides by 7 to find that x = 25. Now we can plug in this value for each expression to find the measure of the angles. The first angle was x, so it is 25 degrees. The second angle was 3x, so 3 * 25, so 75 degrees. The third angle is 3x + 5, so we get 3 *25 + 5, or 80 degrees. Thus the measures of the three angles are 25, 75, and 80. Since all three angles are less than 90 degrees, it is an acute triangle.