Final answer:
The measure of angle GHI is calculated by subtracting the sum of the measures of angles DHI and GHD from 180°, resulting in 20° based on the given information, which does not correspond with any of the available choices.
Step-by-step explanation:
To find the measure of angle GHI, we can use the angle properties of triangles or lines. If points D, H, and I are on a straight line, making DHI a straight angle, its measure would be 180°. Since we are given m∠DHI = 65° and m∠GHD = 95°, we can find m∠GHI by subtracting the sum of the given angles from 180° (the total measure of a straight angle).
m∠GHI = 180° - (m∠DHI + m∠GHD)
= 180° - (65° + 95°)
= 180° - 160°
= 20°
Therefore, the measure of angle GHI is 20°, which is not listed in the provided choice, indicating there may have been a mistake in the question or multiple choices provided. However, following the process we've described here will still yield the correct angle measure based on the information given.