Question 1124988
Three angles A,B,C; write an equation for each statement
:
The sum of the measures of the three angles of a triangle is equal to 180 degrees.
A + B + C = 180
 In a given triangle, the second angle measures 20 degrees more than the first
B = A + 20
or
A = B - 20
 and the third, 35 degrees more than the second.
C = B + 35

:
 What is the measure of each of these angles?
In the 1st equation, replace A with (B-20) and replace C with (B+35)
(B-20) + B + (B+35) = 180
combine like terms
B + B + B - 20 + 35 = 180
3B + 15 = 180
3B = 180 - 15
3B = 165
B = 165/3
B = 55 degrees
:
I'll let you find A & C using the equations we have for each statement
Ensure that the 3 angles do indeed, add up to 180