ANSWER FOR BRAINLIEST :)
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64° + 76° + (2x+14)° = 180° (angle sum of triangle)
140° + 2x+14° = 180°
2x=180 ° - 14 ° -140°
2x=26°
x=13°
Answer:
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!