The ratio of the measures of the three angles of a triangle is 2:5:8. What is the measure of each angle of the triangle.
To find the measure of each angle of the triangle, we need to first determine the value of the common ratio. Let's denote the measures of the angles as 2x, 5x, and 8x.
Since the sum of the angles in a triangle is 180 degrees, we can set up the equation 2x + 5x + 8x = 180.
Combining the like terms, we get 15x = 180.
To isolate x, we divide both sides of the equation by 15: x = 180/15 = 12.
Now that we have the value of x, we can find the measure of each angle:
The first angle: 2x = 2 * 12 = 24 degrees.
The second angle: 5x = 5 * 12 = 60 degrees.
The third angle: 8x = 8 * 12 = 96 degrees.
Therefore, the measure of each angle in the triangle is 24 degrees, 60 degrees, and 96 degrees, respectively.
8 posts in 7 minutes!! This is called spamming the message board, DUMPING your homework for other people to do.
Once you indicate that you're trying to work these problems on your own, someone here will be happy to help you.
Ok, that makes 8 consecutive questions without any indication of an effort on your part, or any question as to what your difficulties are with these.
That is considered "homework dumping"