Based on the two images you provided, the question asks about which statement regarding the angles of triangles is true.

Image Analysis:

1. First Triangle (Top Left): This triangle has angles $48^\circ, 42^\circ, \text{and} 138^\circ$. These add up to 180° as expected (because the sum of the angles in a triangle is always 180°).

2. Second Triangle (Top Right): This triangle has angles $120^\circ, 60^\circ, \text{and} 35^\circ$, which also sum to 180°.

3. Third Triangle (Bottom Left): This triangle has two given angles $60^\circ \text{ and } 70^\circ$, leaving the third angle (denoted $z$) to be calculated. Since the sum of angles in a triangle must equal 180°, we can calculate $z$: $z = 180^\circ - (60^\circ + 70^\circ) = 50^\circ$

4. Fourth Triangle (Bottom Right): This triangle is labeled with angles $140^\circ, 40^\circ, \text{and} 50^\circ$, summing again to 180°.

Given Statements:

The question is asking which statement is true. One of the statements (labeled "B") reads:

• $z = 130^\circ$, because $180^\circ - (60^\circ + 70^\circ) = 50^\circ$ and $180^\circ - 50 = 130^\circ$.

Verifying Statement "B":

• This statement is incorrect because the correct calculation for $z$ is 50°, not 130°. Therefore, "B" is not correct.

Correct Answer:

From the provided information, the accurate answer would be the one that correctly calculates $z$ as 50° in the third triangle. Based on the available information, it seems like the correct answer might not be present in the selected options.

Would you like further details or clarification on this?

Here are 5 questions to deepen your understanding:

1. What is the rule for the sum of angles in a triangle?
2. How can we verify if a triangle's angles are correct by calculation?
3. What is the process for calculating an unknown angle in a triangle?
4. How can supplementary and complementary angles be used in triangle problems?
5. How does one identify and correct mistakes in angle calculations?

Tip: Always double-check the sum of angles in any triangle to ensure they equal 180°.