Ask Question
15 May, 11:53

The angles in a triangle are represented by 5x, 8x, and 2x+9. What is the value of x?

+5
Answers (1)
  1. 15 May, 13:20
    0
    x = 11.4

    Step-by-step explanation:

    The sum of the angles of any triangle must add up to 180°. Since we have the expressions for each angle: 5x, 8x, and (2x + 9), we can solve for the variable of 'x' by adding the expressions together and setting them equal to 180:

    5x + 8x + (2x + 9) = 180

    Combine like terms: 15x + 9 = 180

    Use inverse operations: 15x + 9 - 9 = 180 - 9

    15x = 171 or x = 11.4

    Check: 5 (11.4) + 8 (11.4) + 2 (11.4) + 9 = 57 + 91.2 + 22.8 + 9 = 180
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “The angles in a triangle are represented by 5x, 8x, and 2x+9. What is the value of x? ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers