Geometry

Question Analysis:

This question focuses on identifying pairs of line segments that form an obtuse angle within a given geometric figure. The key is to understand the concept of obtuse angles and analyze the angles formed by different line - segment pairs.

Key Concept Explanation:

An obtuse angle is an angle that measures greater than 90 degrees but less than 180 degrees.

Step - by - Step Solution:

1. Analyze each option:

A.For “Line segments ZT and ZH”: The angle ∠TZH = 45 degrees, which is less than 90 degrees. So, this pair does not form an obtuse angle.

B.For “Line Segments NT and ND”: The angle ∠TND is marked as a right - angle (90 degrees). So, this pair does not form an obtuse angle.

C.For “Line Segments DR and DN”: The angle ∠RDN = 108 degrees. Since 90° < 108° < 180°,  this pair forms an obtuse angle.

D.For “Line Segments RD and RH”: The angle ∠DRH=80 degrees, which is less than 90 degrees...