Question

The angle measures of a triangle are a, 3a, and 5a. Tell the measure of each angle

Answer 1

The measures of the angles in the triangle are 20 degrees, 60 degrees, and 100 degrees, calculated by setting up the equation a + 3a + 5a = 180 and solving for a.

Step-by-step explanation:

To find the measure of each angle in a triangle with angle measures represented by a, 3a, and 5a, you use the fact that the sum of the angles in any triangle is always 180 degrees. Therefore, you can set up the equation a + 3a + 5a = 180. To solve for a, combine like terms to get 9a = 180, then divide both sides by 9 to find that a = 20.

Once a is known, you can determine the measure of each angle:

• The first angle is a, which equals 20 degrees.
• The second angle is 3a, which is 3×20 = 60 degrees.
• The third angle is 5a, which is 5×20 = 100 degrees.