Question

The ratio of the measure of the vertex angle to the angle of an isosceles triangle is 8:5. Solve for x: 8x + 8x + 5x = 180.

Answer 1

To solve for x in the equation 8x + 8x + 5x = 180, combine like terms and divide both sides of the equation by 21.

Step-by-step explanation:

To solve for x in the equation 8x + 8x + 5x = 180, you need to combine like terms and then solve the resulting equation. First, combine the like terms on the left side of the equation: 8x + 8x + 5x = 21x. Now, the equation becomes 21x = 180. To solve for x, divide both sides of the equation by 21: x = 180/21 = 8.57 (rounded to two decimal places). Therefore, x is approximately 8.57.