To solve the problem provided in the image, we'll follow these steps:

Given:

• There is an angle $\theta$ that we need to determine.
• The adjacent angle is given as $70^\circ$.

Understanding the Problem:

The problem likely involves a diagram with intersecting lines forming angles, and the sine rule or another trigonometric identity might be required to find $\theta$.

Steps to Solve:

1. Use the Supplementary Angle Relationship:

   • When two lines intersect, the angles on a straight line are supplementary. This means that the sum of the adjacent angles is $180^\circ$.
   • Therefore, $\theta$ and $70^\circ$ are supplementary.

2. Set Up the Equation: $\theta + 70^\circ = 180^\circ$

3. Solve for $\theta$: $\theta = 180^\circ - 70^\circ$ $\theta = 110^\circ$

Conclusion:

The value of the angle $\theta$ is $110^\circ$.

This solution assumes that the problem involves finding the angle using the basic property of supplementary angles. If there are other trigonometric identities or rules involved, please let me know so I can assist further.

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Related Questions:

1. How can you determine whether angles are supplementary or complementary?
2. What are the key properties of intersecting lines that can help solve angle problems?
3. Can the sine rule be applied if we have non-supplementary angles in the diagram?
4. What are some common methods to verify the accuracy of an angle calculation?
5. How can understanding supplementary angles help in real-world applications?

Tip: When working with diagrams involving angles, always double-check the relationships between angles (e.g., supplementary, complementary) to avoid simple errors.