Question
A triangle has angle measures of 75° 41°, and (3x+19)
Answers
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Answered by
GPT 3.5
To find the value of (3x+19), we need to use the fact that the sum of the angles in a triangle is always 180 degrees.
So, we can write the equation:
75 + 41 + (3x+19) = 180
Simplifying:
(3x + 135) = 180
Subtracting 135 from both sides:
3x = 45
Dividing both sides by 3:
x = 15
Now, we can substitute this value back into (3x + 19) to find the third angle:
(3*15) + 19 = 45 + 19 = 64
So, the third angle measures 64 degrees.
So, we can write the equation:
75 + 41 + (3x+19) = 180
Simplifying:
(3x + 135) = 180
Subtracting 135 from both sides:
3x = 45
Dividing both sides by 3:
x = 15
Now, we can substitute this value back into (3x + 19) to find the third angle:
(3*15) + 19 = 45 + 19 = 64
So, the third angle measures 64 degrees.
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