To solve this problem, we use the fact that the sum of the angles in any triangle is always 180°. The three angles of the triangle are given as:

• 56°
• $(2x + 4)°$
• $x°$

Step 1: Set up the equation for the sum of the angles:

$56° + (2x + 4)° + x° = 180°$

Step 2: Combine like terms:

$56° + 2x° + 4° + x° = 180°$ $60° + 3x° = 180°$

Step 3: Solve for $x$:

$3x = 180° - 60°$ $3x = 120°$ $x = 40°$

Step 4: Find the measures of the three angles:

• The first angle is 56°.
• The second angle is $2x + 4 = 2(40) + 4 = 80°$.
• The third angle is $x = 40°$.

Thus, the three angles of the triangle are 56°, 80°, and 40°.

Conclusion:

The correct answer is: A. 56°, 80°, 44°

Would you like more details on how we derived this, or do you have any questions?

Here are 5 related questions:

1. What is the sum of the angles of a triangle in a non-Euclidean geometry?
2. How would you solve for $x$ if one angle was a right angle (90°)?
3. Can you form a triangle where one angle is greater than 90° and another is less than 45°?
4. How do the angles of a triangle change if one side lengthens while others remain constant?
5. How would the solution change if you were solving for a triangle in degrees and radians?

Tip: Always check the sum of the angles after solving any triangle-related problem to ensure accuracy!