Given that m∠ABH > m∠GHB, the inequality that relates AH and GB based on the relationship between the angles and sides of a triangle is: AH > BG.
Recall:
The relationship between the sides and angles of a triangle is such that the size of an angle is relative to the length of the side it is directly opposite to.
This means, the biggest angle measure will be opposite to the longest side, and vice versa in the triangle.
Given the image attached below where,
m∠ABH > m∠GHB
∠ABH is directly opposite side AH
∠GHB is directly opposite to side GB
Since m∠ABH > m∠GHB, the inequality that relates AH and GB based on the relationship between the angles and sides of a triangle is: AH > BG.
Learn more about sides and angles of a triangle on:
