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The given diagram shows intersecting lines, and we are asked to find the missing angle adjacent to the angle labeled 80°. Since the two angles form a linear pair (they are on a straight line), they are supplementary. This means their sum is 180°.

We can calculate the missing angle using the equation:

\[
\text{Missing angle} + 80^\circ = 180^\circ
\]

\[
\text{Missing angle} = 180^\circ - 80^\circ = 100^\circ
\]

However, the angle adjacent to this missing angle is vertically opposite to the given 80°, and vertically opposite angles are equal. So, the missing angle is **80°**.

The correct answer is **80°**.

Would you like further clarification or details on this? Here are some related questions:

1. What is the rule for vertically opposite angles?
2. How do we calculate supplementary angles?
3. Can two angles on a straight line ever sum to less than 180°?
4. What is the definition of adjacent angles?
5. How are intersecting lines related to angle pairs?

**Tip:** Vertically opposite angles are always equal when two lines intersect.

What is the value of the missing angle adjacent to an 80° angle in intersecting lines?

Learn how to solve a geometry problem involving intersecting lines. This question requires finding the missing angle adjacent to an 80° angle using concepts like supplementary and vertically opposite angles. Suitable for Grades 6-8.

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