Question

name the relationship:
3)
image of angle with parts a and b
a) complementary
b) vertical
c) alternate exterior
d) adjacent

Explanation:

To determine the relationship between angles \(a\) and \(b\), we analyze each option:

• Option A (Complementary): Angles that sum to \(90^\circ\). The diagram does not indicate a right angle or sum to \(90^\circ\), so A is incorrect.
• Option B (Vertical): Angles opposite each other when two lines intersect. Here, \(a\) and \(b\) share a common vertex but are not opposite (formed by intersecting lines), so B is incorrect.
• Option C (Alternate Exterior): Applies to angles formed by a transversal with parallel lines, outside the lines. The diagram does not involve parallel lines or exterior positioning, so C is incorrect.
• Option D (Adjacent): Angles that share a common side and vertex, and do not overlap. Angles \(a\) and \(b\) share a common vertex and side, fitting the definition of adjacent angles.

Answer:

D. adjacent