Question

1. provide the name of the following relationships. a) ∠1 & ∠6 b) ∠2 & ∠7 c) ∠16 & ∠14 d) ∠14 & ∠11 e) ∠1 & ∠7 f) ∠6 & ∠5 g) ∠15 & ∠10 h) ∠1 & ∠2 i) ∠13 & ∠12 j) ∠16 & ∠9

Explanation:

Step1: Recall angle - relationship definitions

Corresponding angles are in the same relative position at each intersection where a straight - line crosses two others. Vertical angles are opposite each other when two lines intersect. Adjacent angles share a common side and a common vertex.

Step2: Analyze each pair

a) ∠1 and ∠6 are corresponding angles.
b) ∠2 and ∠7 are corresponding angles.
c) ∠16 and ∠14 are vertical angles.
d) ∠14 and ∠11 are adjacent angles.
e) ∠1 and ∠7 are neither corresponding, vertical, nor adjacent in a simple sense; they are non - related in the basic angle - pair terms.
f) ∠6 and ∠5 are adjacent angles.
g) ∠15 and ∠10 are corresponding angles.
h) ∠1 and ∠2 are adjacent angles.
i) ∠13 and ∠12 are adjacent angles.
j) ∠16 and ∠9 are non - related in the basic angle - pair terms.

Answer:

a) Corresponding
b) Corresponding
c) Vertical
d) Adjacent
e) None of the common types
f) Adjacent
g) Corresponding
h) Adjacent
i) Adjacent
j) None of the common types