Question 624368
Let's call the two angles A and B instead of angle 1 and 2 because we want to use their names as variables.<br>
So
"The sum of two angles' measures is 95 degrees."
translates into 
A + B = 95<br>
"Angle 2 is 105 degrees smaller than 3 times angle 1"
translates into
B = 3*A - 105<br>
With two variables and two equations we have a system we can solve. Since the second equation is already solved for B, using the Substitution Method might be easiest. Using the expression for B in the second equation we can substitute for the B in the first equation:
(3*A - 105) + A = 95
(Note the use of parentheses. It is always a good idea to use parentheses when substituting one expression for another.)
Simplifying the left side:
4A - 105 = 95
Adding 105 to each side:
4A = 200
Dividing both sides by 4:
A = 50<br>
To find B we use the value we just found for A and either of the earlier equations. Using the first equation:
(50) + B = 95
Subtracting 50:
B = 45<br>
So angle 1 is 50 degrees and angle 2 is 45 degrees.