https://file.aiquickdraw.com/mathbot/file/1726392613864pspj1sw9.jpg

The image shows a pair of parallel lines cut by a transversal, and the question is asking to find the angle \( t \), given that the other angle adjacent to it on the transversal is \( 110^\circ \).

Since these two angles are on the same side of the transversal, they form a supplementary pair of angles (same-side interior angles). The sum of supplementary angles is always \( 180^\circ \).

We can find \( t \) by subtracting \( 110^\circ \) from \( 180^\circ \):
\[
t = 180^\circ - 110^\circ = 70^\circ
\]

Therefore, the size of the angle \( t \) is \( 70^\circ \), which corresponds to option A.

Would you like more details or have any further questions?

Here are 5 related questions:
1. What are alternate interior angles, and how do they relate to parallel lines?
2. How can you use corresponding angles to solve similar problems with parallel lines?
3. What is the difference between complementary and supplementary angles?
4. How do vertical angles behave when two lines intersect?
5. Can you explain how exterior angles of a transversal interact with parallel lines?

**Tip:** Always look for relationships between angles like corresponding, alternate, and supplementary when dealing with parallel lines and transversals.

Find the size of the angle marked t in Figure V.

Learn how to find the size of the angle t when parallel lines are cut by a transversal. This geometry problem involves understanding supplementary angles and same-side interior angles, using a simple step-by-step solution. Perfect for students in Grades 6-8.

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