ANSWER FOR BRAINLIEST :)

64° + 76° + (2x+14)° = 180° (angle sum of triangle)

140° + 2x+14° = 180°

2x=180 ° - 14 ° -140°

2x=26°

x=13°

x = 13

Step-by-step explanation:

the sum of the triangle angles always adds up to 180 degrees, otherwise it is not a triangle.

 64 + 76 = 140

180 - 140 = 40.

therefore, the last angle must equal 40 degrees.

2 * x + 14 is the equation we need to us to get to 40 degrees.

40 - 14 = 26

26 / 2 = 13

therefore, x equals 13

now, is we want to check our answer to make sure it is correct,

2 * 13 + 14 = 26 + 14

   26 + 14 = 40

  76 + 64 = 140

180 - 140 = 40

therefore, it works.

good luck my friend!