Question
List the order to write and solve for X
Theres a triangle the 3 measures are 45 , 90, and (8x+21)
Theres a triangle the 3 measures are 45 , 90, and (8x+21)
Answers
GPT 3.5
To solve for x in the triangle with measures 45, 90, and (8x + 21), you can follow these steps:
1. Start by applying the triangle angle sum theorem, which states that the sum of the angles in a triangle is always 180 degrees.
2. Set up the equation:
45 + 90 + (8x + 21) = 180
3. Simplify the equation:
135 + 8x + 21 = 180
4. Combine like terms:
156 + 8x = 180
5. Subtract 156 from both sides:
8x = 24
6. Divide both sides by 8:
x = 3
7. Solve for x:
x = 3
Therefore, x = 3 is the solution for the triangle with measures 45, 90, and (8x + 21).
1. Start by applying the triangle angle sum theorem, which states that the sum of the angles in a triangle is always 180 degrees.
2. Set up the equation:
45 + 90 + (8x + 21) = 180
3. Simplify the equation:
135 + 8x + 21 = 180
4. Combine like terms:
156 + 8x = 180
5. Subtract 156 from both sides:
8x = 24
6. Divide both sides by 8:
x = 3
7. Solve for x:
x = 3
Therefore, x = 3 is the solution for the triangle with measures 45, 90, and (8x + 21).