A triangle has angles described as follows:

- The first angle is four more than seven times a number.
- Another angle is four less than the first.
- The third angle is twice as large as the first.

What are the sizes of each of the angles?

1st angle: 7x+4 2nd: 7x+4-4=7x 3rd: 2(7x+4) 180=7x+4+2(7x+4)+7x 28x+12=180 28x=168 x=6

Answered by helenchow9 | 2024-06-10

The **measure **of the **angles **is given as 46°, 42°, and 92° respectively.
What are equation models?
The **equation model **is defined as the model of the given **situation **in the form of an equation using **variables **and constants .
Here, Let the number be x, According to the question, 1st angle = 7x + 4 2nd angle = 1 st angle - 4 = 7x 3rd angle = 2 [1st angle] = 2[7x + 4] = 14x + 8
For a triangle, the sum of the angle should be 180° 7x + 4 + 7x + 14x + 8 = 180 28x + 12 = 180 28x = 168 x = 168 / 28 x = 6
Now, 1st angle = 7[6] + 4 = 46° 2 nd angle = 46 - 4 = 42 3rd angle = 2 × 46 = 92°
Thus, the **measure **of the **angles **is given as 46°, 42°, and 92° respectively.
Learn more about **models **here: https://brainly.com/question/22591166
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Answered by priyankapandeyVT | 2024-06-16

The angles of the triangle measure 46°, 42°, and 92°. To find these angles, we used a variable for the unknown number and formulated equations based on the relationships given in the problem. By solving the equations, we determined the sizes of each angle.
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Answered by priyankapandeyVT | 2024-09-27