Question
Triangle angle sum theorem, (8x+5)° (5x-1)° (4x+6)°
Answers
GPT 3.5
To find the sum of the angles in a triangle, we simply add the measures of the three angles together and set the sum equal to 180°.
So, we have:
(8x+5)° + (5x-1)° + (4x+6)° = 180°
Combine like terms:
8x + 5 + 5x - 1 + 4x + 6 = 180
17x + 10 = 180
Subtract 10 from both sides:
17x = 170
Divide by 17:
x = 10
Now, we can find the measure of each angle:
(8(10)+5)° = 85°
(5(10)-1)° = 49°
(4(10)+6)° = 46°
Therefore, the angles in the triangle are 85°, 49°, and 46°.
So, we have:
(8x+5)° + (5x-1)° + (4x+6)° = 180°
Combine like terms:
8x + 5 + 5x - 1 + 4x + 6 = 180
17x + 10 = 180
Subtract 10 from both sides:
17x = 170
Divide by 17:
x = 10
Now, we can find the measure of each angle:
(8(10)+5)° = 85°
(5(10)-1)° = 49°
(4(10)+6)° = 46°
Therefore, the angles in the triangle are 85°, 49°, and 46°.