Question 1124988

The sum of the measures of the three angles of a triangle is equal to 180 degrees. In a given triangle, the second angle measures 20 degrees more than the first and the third, 35 degrees more than the second. What is the measure of each of these angles?
<pre>Let the measure of the first angle be F
Then the second angle = F + 20
And, the third = F + 20 + 35 = F + 55
We then get: F + F + 20 + F + 55 = 180
3F + 75 = 180
3F = 105
{{{highlight_green(system(matrix(1,8, "F,", or, first, angle, "=", 105/3, "=", 35^o), matrix(1,6, second, angle, "=", 35 + 20, "=", 55^o), and, matrix(1,6, third, angle, "=", 35 + 55, "=", 90^o)))}}}