Question

he measures of the angles of a triangle are (2x), (x + 14), and (x - 38). Determine the value of x and the measures of each of the three angles.

Answer 1

Answer:

Value of x:

x = 1

Values of Each Side:

(2x) Measure = 102

(x + 14) Measure = 65

(x - 38) Measure = 13

Step-by-step explanation:

We know that the measures of a triangle always add up to 180.

So to solve, we use the equation: (2x) + (x + 14) + (x - 38) = 180. To solve, first first combine like terms to get: 4x - 24 = 180. Now add 24 to both sides to get: 4x = 204. Now divide 4 from both sides to get: x = 51.

Now insert 51 for x in all the angles to get the final measures.

Hope it helps!