Answer:
The larger acute angle is 50 2/3 degrees.
Step-by-step explanation:
In order to find this, we first need to create an equation that helps to find the value of x. All 3 angle should add to 180, so we can give the two unknowns in terms of x and add 90 to get 180.
x + 14 + 2x + 90 = 180
3x + 104 = 180
3x = 76
x = 25 1/3
Now that we have this, we can put it in for both equations to find their values.
2x = 2(25 1/3) = 50 2/3
x + 14 = 25 1/3 + 14 = 39 1/3
The first would be larger and therefore would answer the question.
