https://file.aiquickdraw.com/mathbot/file/17285089128648e6yqcyp.jpg

The image provided shows two adjacent angles forming a straight line, one labeled as \(81^\circ\) and the other as \(k\). These two angles are supplementary, meaning their sum is \(180^\circ\) because they are on a straight line.

To find \(k\), we can use the equation for supplementary angles:

\[
k + 81^\circ = 180^\circ
\]

Solving for \(k\):

\[
k = 180^\circ - 81^\circ = 99^\circ
\]

Thus, the value of \(k\) is \(99^\circ\).

Would you like more details on this or have any further questions?

Here are 5 related questions you might find useful:
1. What are complementary and supplementary angles?
2. How do we identify congruent angles in geometric figures?
3. What are alternate interior angles, and how do they relate to parallel lines?
4. How can you determine unknown angles in triangles or polygons?
5. How does the sum of angles in a triangle relate to exterior angles?

**Tip:** In any polygon, exterior angles sum up to \(360^\circ\), regardless of the number of sides!

Find the value of k given that one adjacent angle is 81° and the two form a straight line.

Learn how to find the value of angle k when one angle is given as 81° and both angles form a straight line, making them supplementary. Suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation