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The image shows a diagram with intersecting lines, forming angles with one another. The two given angles are 38° and 27°, and the angle marked as \( c \) is to be found.

This is a case of angles around a point on a straight line, where the sum of adjacent angles on a straight line equals 180°. Therefore, to find \( c \), we need to subtract the sum of the given angles from 180°.

The sum of the angles is:
\[
38^\circ + 27^\circ = 65^\circ
\]

Now, subtract this sum from 180° to find \( c \):
\[
c = 180^\circ - 65^\circ = 115^\circ
\]

Thus, the value of \( c \) is \( 115^\circ \).

Would you like further details, or do you have any other questions?

Here are some related questions to expand your understanding:

1. What are supplementary angles?
2. How can you verify if two angles are adjacent?
3. What are vertically opposite angles, and how do they relate to this problem?
4. How do complementary angles differ from supplementary angles?
5. Can you apply the same reasoning to find unknown angles in polygons?

**Tip:** When working with angles formed by intersecting lines, always remember that the angles on a straight line sum up to 180°, and vertically opposite angles are equal.

Discover how to find the value of angle c when given two angles of 38° and 27°. This problem demonstrates the angle sum property of a straight line, a key concept in geometry. Suitable for Grades 6-8.

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