Question

A

triangle
The measure of the First angle of
is 25 degree less than the measure of the
Second angle. The measure of the third angle
of the triangle is triple the measure of the
second angle.

Answer 1

Alright, lets say the measure of the 3rd angle (the smallest one) is x degree, then measure of the 1st angle will be (x + 25) degree, and 2nd one: 3x degree. The sum of all the angles in any triangles is 180 degrees.

(x + 25) + 3x + x = 180

5x + 25 = 180 ---> 5x = 180 - 25 ---> 5x = 155 ---> x = 155/5 ---> x = 31o (third angle)

31 + 25 = 56o (first angle)

3 × 31 = 93o (second angle)

56 + 93 + 31 = 180