Answer:
x = 70°
y = 35°
Step-by-step explanation:
Given one angle of a triangle is 75° and the other two are 'x' and 'y', you want to find the possible values of 'x' and 'y' when x = 2y.
Setup
The angle sum theorem and the given relation give rise to two equations:
75 +x +y = 180
x = 2y
Solution
Using the second equation to substitute for x in the first equation, we have ...
75 +(2y) +y = 180
3y = 105 . . . . . . . . . subtract 75 and simplify
y = 105/3 = 35
x = 2y = 2(35) = 70
The measures of angles x and y are 70° and 35°, respectively.
