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We are given a triangle \( \triangle GRT \) with the following angles:

- \( \angle R = 55^\circ \)
- \( \angle G = (7x + 1)^\circ \)
- \( \angle T = (6x - 6)^\circ \)

### To solve for \( \angle T \):

1. **Use the Triangle Sum Theorem**, which states that the sum of the interior angles of a triangle is \( 180^\circ \). Therefore:

\[
\angle R + \angle G + \angle T = 180^\circ
\]

Substitute the given values:

\[
55^\circ + (7x + 1)^\circ + (6x - 6)^\circ = 180^\circ
\]

2. **Simplify the equation**:

\[
55 + 7x + 1 + 6x - 6 = 180
\]

Combine like terms:

\[
55 + 1 - 6 + 7x + 6x = 180
\]

\[
50 + 13x = 180
\]

3. **Solve for \( x \)**:

\[
13x = 180 - 50
\]

\[
13x = 130
\]

\[
x = \frac{130}{13} = 10
\]

4. **Substitute \( x = 10 \) back into the expression for \( \angle T \)**:

\[
\angle T = (6x - 6)^\circ = (6(10) - 6)^\circ = (60 - 6)^\circ = 54^\circ
\]

Thus, the measure of \( \angle T \) is **54°**.

### The correct answer is:
**C. 54°**

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Would you like more details or have any other questions? 

Here are 5 related questions to deepen your understanding:
1. How do you use the triangle sum theorem to find unknown angles?
2. Can a triangle have more than one angle greater than 90°?
3. What are the properties of different types of triangles based on their angles?
4. How can you solve for unknown variables in geometric problems involving angles?
5. What happens when the sum of the angles in a triangle exceeds 180°?

**Tip**: Always check the sum of angles in any triangle problem to confirm your solution.

The Vega family would like to build a triangular tree house in their backyard. They drew the following diagram. Determine the measure of ∠T.

Determine the measure of ∠T in triangle GRT using the Triangle Sum Theorem and algebraic expressions for angles. Follow step-by-step algebraic calculations to find x and solve for the missing angle.

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